[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2sin(2π((-2x + 3)/(-3x - 2))) - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(2π(-3x - 3) + 2) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2sin(2π(2|x + 1| - 1) - 3) - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3cos(3π(-2|x - 3| + 1) + 1) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (2(-2cos(3πx + 2) - 1))/(-1(-2cos(3πx + 2) - 1) - 1), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(-3sin(1πx + 1) + 3)^2 - 4(-3sin(1πx + 1) + 3) - 4 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (3(2cos(3πx - 2)) - 2)/(2(2cos(3πx - 2))), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(2π((-2x)/(2x + 3)) + 1) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(1π(-4x^2 + 2x) + 1) + 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(1π(-2x^2 - 4x - 5) - 1) - 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3(2sin(2πx + 1) - 1) - 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-1(-3cos(1πx) - 1) - 2)/(-1(-3cos(1πx) - 1) + 2), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1cos(2π((-1x - 2)/(2x - 3)) + 3) + 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (3(1cos(3πx + 1) - 2) + 3)/(2(1cos(3πx + 1) - 2) - 1), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -5(-2cos(1πx - 1) - 3)^2 + 5(-2cos(1πx - 1) - 3) + 5 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(3π(1x^2 - 3)) + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2sin(3π(-2|x + 3| + 1) - 2) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(1π(-3|x - 2| + 3)) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2sin(1π(3x^2) + 1) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(-2cos(1πx - 3) - 3) - 4 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3sin(1π((-3x + 3)/(-3x + 1)) - 1) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1sin(2π(-3|x - 2| - 2) - 3) + 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3sin(1π(1x^2 + 5x + 1)), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2sin(2π(5x^2 - 4x - 1) + 2), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(3π(-2x - 3) - 3) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 4(2cos(2πx - 3) + 2)^2 - 1(2cos(2πx - 3) + 2), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 4(1cos(3πx) + 2) + 4 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -5(2cos(2πx - 3)) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2cos(2π(3x + 2) - 1) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (-2(3sin(3πx + 3) + 2) + 3)/(-2(3sin(3πx + 3) + 2) - 1) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3(-1cos(3πx) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3cos(3π(1x^2 - 5x) + 3) - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(2sin(3πx + 3) + 3)^2 - 3(2sin(3πx + 3) + 3) + 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2|(-2sin(2πx + 1) - 3) - 1| - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1(1cos(2πx + 2) + 3)^2 + 3(1cos(2πx + 2) + 3) + 4, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(-1cos(2πx + 1) + 1)^2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(-2cos(2πx + 1) + 2)^2 - 1(-2cos(2πx + 1) + 2) - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1(-2sin(3πx + 3))^2 + 1(-2sin(3πx + 3)) + 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(1π(3x + 3) + 3) - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(2π(3|x| - 2) + 1) - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(3π((3x - 3)/(2x))) + 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(-1cos(2πx - 3)) + 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1sin(2π(-1|x + 3| + 1) - 2) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2sin(3π(-1|x - 3| + 3) - 3) + 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(2π(-1|x - 2| + 3) - 2) - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2|(-3sin(1πx + 1) - 2) - 1| - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 4(-2cos(3πx + 3) + 1) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3|(-1sin(2πx - 2) - 3) + 1| - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2(2sin(2πx + 3) - 3)^2 + 2(2sin(2πx + 3) - 3) - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(2π(1x + 2) + 1) - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2sin(3π(2x^2 - 3x - 4) + 1) - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2cos(2π(1x^2 + 1x + 1)) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1cos(2π(2x + 2)) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3sin(3π((-2x + 1)/(2x - 3)) + 2) - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1|(-3cos(2πx + 1) - 1) - 3| + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(2π((-2x + 2)/(-3x - 1)) + 2) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2cos(2π(-1x + 1) - 3) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3|(-3cos(2πx - 1) - 2) + 2| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3|(1sin(1πx + 1) - 2) + 2| + 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -5(-2cos(3πx + 2) - 2) + 5 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3sin(2π(-4x^2 - 5x - 2) - 2) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2sin(3π(-3x) + 3) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -4(3sin(3πx + 2) + 2)^2 - 2(3sin(3πx + 2) + 2) + 5 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-1(3cos(2πx - 3) + 1) - 3)/(1(3cos(2πx - 3) + 1) + 2), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3|(-1sin(1πx + 2) - 3) + 2| + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2|(3sin(2πx - 1) - 3) - 1| - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3|(3cos(3πx + 3) + 1) + 3| + 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3sin(2π(-3|x - 1| - 3) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(1π(-5x^2 - 4x + 5) - 1) - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|(2cos(3πx + 1) + 2)| + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (3(-1sin(1πx + 3) + 2) + 2)/(-2(-1sin(1πx + 3) + 2)), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1cos(2π(2x^2 + 3x - 4) - 1) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(3π(2|x|) + 1) + 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2(-3sin(2πx - 1))^2 + 3(-3sin(2πx - 1)) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(3π((1x - 3)/(-3x + 4)) + 1) + 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(2π(-1|x| - 3) - 2) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3sin(2π(-4x^2 - 3x + 1) - 2) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3sin(1π(2|x - 2| + 1) + 1) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(1π(3x^2 - 2x - 3) + 1) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2cos(1π((-1x - 1)/(-1x + 2)) - 3) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(2π(3x - 3) - 3) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2cos(3π((1x - 3)/(3x + 2)) - 3) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1sin(1π(-1x + 3) - 1) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1|(-2sin(2πx + 1) - 2) + 1| + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3sin(2π((-3x - 1)/(3x - 2)) - 1) + 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (2(3cos(3πx - 2) + 1) - 2)/(1(3cos(3πx - 2) + 1) - 2) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (3(-3cos(2πx + 3) - 3))/(-1(-3cos(2πx + 3) - 3) + 2) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1(-1cos(2πx + 3) - 1) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2cos(2π(3x^2 + 3x + 3) - 1) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -4(1sin(2πx + 2) + 3)^2 + 3(1sin(2πx + 2) + 3) - 5 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(3π(2|x + 3| - 3) + 3) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(2π(4x - 4) - 3) + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2(-1sin(2πx + 2) + 2) - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -4(-1cos(2πx) - 3) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2cos(3π(2x + 1) - 3) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1cos(1π(-5x^2 - 2x - 5) - 1) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1|(-2sin(3πx) - 3) - 2| - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1|(-1cos(1πx + 3)) - 1| - 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1(-1cos(3πx - 2) + 1)^2 - 1(-1cos(3πx - 2) + 1) - 5 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3sin(2π(-2x^2 - 1x - 3)) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2cos(3π(-5x - 5)) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2sin(1π(1x + 3) - 3) + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1sin(3π(-1x^2 - 5x + 1) + 1) - 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-1(-2sin(1πx - 2) - 1) + 2)/(-2(-2sin(1πx - 2) - 1) - 2), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(1π(2x^2 - 5x - 2) + 2) - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (-2(-3sin(1πx + 3)) + 3)/(1(-3sin(1πx + 3)) + 2) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2(-1sin(2πx - 3) - 2)^2 - 2(-1sin(2πx - 3) - 2) + 5 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3sin(2π(-5x^2 - 3x + 5) + 3) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2|(-2cos(3πx + 1) - 1) - 3| negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(1π(3|x - 3| - 3)) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(1π(5x^2) - 3) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3sin(3π(1x^2 + 2x + 4) + 1) + 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-2(2cos(1πx + 2) + 2) - 1)/(-2(2cos(1πx + 2) + 2) - 2), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3sin(3π((-2x - 1)/(1x - 2)) - 1) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1sin(1π(-1|x| - 2) + 2) + 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3sin(3π(-1x^2 + 5x + 4) + 1) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(1π(-4x^2 - 2) - 1) - 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2cos(3π(-1|x + 1| - 2) + 1) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1(1sin(2πx) - 3)^2 + 2(1sin(2πx) - 3) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(1π(-4x + 1) - 2) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 5(-1sin(3πx - 2) + 1)^2 - 2(-1sin(3πx - 2) + 1) - 4 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(-3cos(1πx - 3) - 1) - 5 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3|(-2cos(1πx + 1) - 2) - 3| - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2sin(3π(-2|x + 2| + 1) - 3) + 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2|(2sin(1πx - 3) + 1)| - 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3sin(3π(2|x| - 2)) + 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2(-1sin(2πx + 1) + 3)^2 + 4(-1sin(2πx + 1) + 3) - 4, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(3π((-2x + 3)/(-1x)) + 3) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 5(3sin(3πx) + 1)^2 + 2(3sin(3πx) + 1) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(3π(-1|x + 1| - 2) + 3) + 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2(-2sin(1πx + 2) + 1) - 4 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (2(-1cos(1πx + 1) - 3) - 2)/(1(-1cos(1πx + 1) - 3) + 3) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1cos(1π(4x + 5) - 2) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3sin(3π(1x^2 + 1x - 4) + 2) + 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(-2sin(2πx - 1) + 1)^2 + 1(-2sin(2πx - 1) + 1) - 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2cos(2π(-3x - 5) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1cos(1π(3x + 2) - 2) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-2(3cos(3πx - 3)) - 2)/(-2(3cos(3πx - 3)) + 3) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 5(-1cos(1πx + 3) + 2) + 5 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -5(-2cos(1πx - 3) + 1)^2 - 4(-2cos(1πx - 3) + 1) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1(1sin(1πx - 3)) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3cos(3π(1|x + 3| + 1) + 2) - 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (2(-3cos(1πx - 3)) - 2)/(-1(-3cos(1πx - 3)) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2sin(2π(4x + 1) + 1) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1cos(2π(5x^2 - 2x + 4) - 1) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1cos(1π((-3x - 1)/(1x + 1)) + 3) + 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3sin(3π(-2|x - 1|) + 3) - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3(-3sin(3πx + 3) + 1)^2 + 5(-3sin(3πx + 3) + 1) + 4 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2|(-1sin(2πx + 1) - 2) - 3| - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3cos(2π(4x - 4) - 3) - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2cos(2π(3|x - 3| - 2) - 3) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (2(1cos(2πx - 1) + 3) - 3)/(-3(1cos(2πx - 1) + 3) - 3) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -5(-1sin(1πx + 2)) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2(-1sin(2πx + 3) - 1) + 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3(-1sin(2πx) + 3) + 5, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2|(-2sin(1πx - 3) - 2) + 1| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(2π(-3|x + 1| + 3) + 1) + 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2|(-2sin(2πx) - 2)| + 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1|(3cos(3πx - 2) - 1) - 1| - 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3sin(3π(2x - 1) + 1) + 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-2(3cos(2πx + 3) - 2) + 2)/(-1(3cos(2πx + 3) - 2) + 2), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1sin(2π(3|x - 3| + 1) + 2) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1cos(1π(-1|x - 3| - 2) - 3) + 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-2(-2sin(3πx + 1) - 3) + 1)/(1(-2sin(3πx + 1) - 3) + 3) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(2cos(1πx - 1))^2 - 5(2cos(1πx - 1)) - 4 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(3π(-2|x + 3| + 2)) - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(1π(4x^2 + 3x - 2) - 3) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2sin(3π(-3|x + 3| - 3)), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(3π(3x + 5) + 3) + 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(-1cos(1πx - 1) - 1)^2 + 4(-1cos(1πx - 1) - 1) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1sin(2π(2|x + 2| - 3) - 1) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2cos(2π(-5x + 1) - 1) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1|(-3cos(2πx + 1) + 3) + 1| + 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2cos(2π(1x^2 + 1x + 3) + 1) - 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1cos(2π(-1|x - 3| + 1)) + 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(3π(1|x - 3| - 3) - 1) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2cos(2π((3x + 2)/(-1x + 2)) - 1) - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -5(-2sin(3πx + 1) - 3)^2 - 4(-2sin(3πx + 1) - 3) + 5 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2cos(2π(-5x) - 3) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 5(-3sin(2πx + 1) - 1) - 5, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(2π(4x^2 + 3x - 3) + 3) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3(-1sin(1πx - 2) - 1) + 5 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1(-1sin(1πx + 3) + 3) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2cos(3π(1x^2 - 1x + 3)) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1(-1cos(3πx - 3) - 1)^2 + 2(-1cos(3πx - 3) - 1) + 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(1cos(2πx - 3) - 1) - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(-1sin(3πx - 1) + 3) + 3| - 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3(-3sin(2πx - 2) + 3)^2 + 5, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1sin(3π((1x + 2)/(1x - 2)) - 3) - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-2(2cos(3πx - 2) + 2) + 2)/(-2(2cos(3πx - 2) + 2) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1(-3cos(1πx - 2) + 2) - 4 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3sin(2π(1|x - 2| + 1) - 1) - 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3(2sin(1πx + 3) - 3) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (1(-2sin(3πx - 1) - 1) + 1)/(-3(-2sin(3πx - 1) - 1) + 2) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(1π(-4x^2 + 3x + 1) + 1) + 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(2π(-3|x + 1| - 3)) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (3(2sin(1πx - 3) + 3) - 2)/(1(2sin(1πx - 3) + 3) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3|(-1cos(1πx + 2) + 3) + 1| + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(2π(3|x - 2| + 1) - 3) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3sin(2π(3|x - 3| - 2)) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2(-1cos(3πx - 1) + 1)^2 - 2(-1cos(3πx - 1) + 1) + 4, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (3(-2cos(2πx - 2) - 2) - 2)/(-1(-2cos(2πx - 2) - 2)) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(2π((1x + 2)/(-2x + 3)) - 2) + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3sin(1π(-1x - 2) + 3) + 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2cos(2π(3|x| + 1) + 3) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3cos(2π(-1|x + 2|) - 3) + 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1sin(2π(-2|x + 1| + 3) - 2) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1|(-2cos(1πx - 3) - 3) - 2| + 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(3π((2x - 2)/(3x + 2)) - 3) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1|(2sin(1πx + 1))| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (3(-3sin(3πx + 3) - 3) + 2)/(2(-3sin(3πx + 3) - 3) - 1), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-3(-1sin(3πx + 1) + 2) - 3)/(-3(-1sin(3πx + 1) + 2) - 2) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3sin(2π((2x - 3)/(1x))) - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2(3cos(2πx - 2) - 2)^2 - 2(3cos(2πx - 2) - 2) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (1(-2sin(2πx - 2) + 3) - 1)/(-2(-2sin(2πx - 2) + 3) - 1), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(3cos(2πx - 3) - 1) + 4 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3cos(3π(1x^2 - 1x - 4) + 3) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(3π((2x - 3)/(-3x + 1))) - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1(-3sin(1πx + 1) - 2) + 4, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1sin(1π(-3|x + 2| - 3) - 1) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1sin(3π((2x)/(-1x - 1)) + 3), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3(-1sin(3πx) + 1)^2 + 2(-1sin(3πx) + 1) + 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (2(1sin(2πx - 2) + 1))/(2(1sin(2πx - 2) + 1) - 1) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2sin(1π(-5x^2 + 4x + 2) + 2) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1|(-1cos(3πx - 1) - 2) - 2| + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3sin(1π(-1x - 3) - 2) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(1π(-2x^2 - 1x + 2) - 1) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (1(-2sin(3πx) + 2))/(1(-2sin(3πx) + 2) + 2) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1(2sin(3πx - 2) + 1) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1sin(2π(-2x + 4) + 3) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3(2sin(1πx - 3) - 2) - 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3|(2sin(1πx - 2) + 2) + 2| - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2(3cos(2πx + 2) + 1) - 4 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (3(2cos(3πx - 2) + 1))/(-2(2cos(3πx - 2) + 1) + 3) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1cos(3π(-3x - 3) - 3) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3sin(1π(-3x^2 - 4x - 4) + 1) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2(1sin(1πx - 2) + 1) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (-3(1sin(1πx - 3)))/(-1(1sin(1πx - 3)) + 2) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (1(1sin(3πx - 2) - 2) - 1)/(-3(1sin(3πx - 2) - 2) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3sin(3π(4x^2) + 2) + 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2sin(1π(1x + 3) + 2) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (2(-2sin(3πx + 1)) - 2)/(3(-2sin(3πx + 1)) - 1) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3(2sin(1πx - 3) + 1) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2sin(1π(-5x - 1) - 3) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3(2sin(1πx - 1) + 3) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2cos(3π(3x^2 + 2x) + 2) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2sin(1π((3x + 2)/(3x - 1)) + 1) - 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-2(-1cos(3πx - 3) + 3) - 3)/(1(-1cos(3πx - 3) + 3) + 1) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (1(-1cos(3πx + 3) + 1) - 2)/(1(-1cos(3πx + 3) + 1) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(2π(5x) + 3) + 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3|(2cos(3πx - 3) + 1)| + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3(-1cos(3πx - 1))^2 + 1(-1cos(3πx - 1)), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1cos(2π((3x + 3)/(-2x - 3)) + 1) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3(3cos(1πx - 2) + 3) - 4, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2|(-2sin(2πx) - 1) + 1| + 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2cos(2π(2x - 4) - 1) + 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2sin(3π(-5x^2 - 2x + 1) - 2) - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(3π((-3x - 1)/(-3x + 1)) - 3) - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1(1cos(2πx) - 2)^2 - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3cos(3π(-2x - 2) - 2) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1sin(1π((-2x + 1)/(-1x + 3)) - 1) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 5(2sin(2πx) - 1) - 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3cos(1π(-3|x - 1| + 1) - 1) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(2π(3x^2 + 4x + 3) - 2) + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3cos(1π(1x + 2) + 1) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3sin(2π(4x^2 + 2x + 3) - 1) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3(-2sin(2πx - 1) - 2)^2 + 1(-2sin(2πx - 1) - 2) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3(-3sin(3πx - 3) + 2) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2(-1sin(1πx - 2) - 1)^2 + 2(-1sin(1πx - 2) - 1) - 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(3sin(2πx + 3)) + 4 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1(3cos(1πx - 3))^2 - 2(3cos(1πx - 3)) + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3|(1cos(1πx - 1) - 3) + 2| + 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1(1sin(3πx) + 3)^2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1(-2cos(2πx - 3))^2 - 2(-2cos(2πx - 3)) - 5 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -5(3sin(2πx + 3) + 2) - 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(2π(1|x + 3| + 2)) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2|(-1sin(1πx + 3) + 1) + 3| - 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(1π(2x - 1) - 2) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 4(-3sin(1πx + 1) + 3) - 5 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2cos(2π(2x^2 - 1x - 1) - 3) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(1π(-2x^2 + 4x - 1) - 2) + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2(-1cos(1πx - 2) - 2) + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1(1sin(2πx + 3) + 2)^2 + 4(1sin(2πx + 3) + 2) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2cos(3π(1x + 4) - 2) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -5(1cos(2πx - 1)) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -5(2sin(3πx - 2) + 3) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3sin(3π(-5x - 5) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1cos(2π(1|x - 3| + 2) + 1) + 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-1(1cos(2πx + 1) + 2) + 3)/(2(1cos(2πx + 1) + 2)) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2sin(3π(1|x + 2| - 1) - 3) + 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2cos(2π(1x^2 - 1x - 3)) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2sin(2π(3x^2 - 3x + 3) - 3) + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 4(-3cos(1πx - 3)) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(3π(-3x + 2) - 1) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2cos(3π(-5x^2 + 2) + 3) + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3(3sin(1πx + 2) + 2) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3cos(3π(-5x + 1) - 1) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(1π(1x - 2) - 1) + 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1sin(3π(5x + 4) + 1) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (2(-2sin(2πx - 2) - 1) + 1)/(3(-2sin(2πx - 2) - 1) - 1) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3sin(3π(-5x - 2)) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(2π(-5x - 2) + 3) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3cos(3π((3x)/(1x + 3)) - 2), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3cos(3π(1|x - 2| + 1)) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(2π(5x - 1) - 2) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(1cos(1πx - 2) - 3) + 1| - 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -4(3sin(1πx - 3) - 2), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 4(-1cos(1πx - 2) - 2) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (2(-1cos(1πx) + 3) - 3)/(3(-1cos(1πx) + 3) + 2) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1(-3sin(2πx) + 3)^2 + 5(-3sin(2πx) + 3) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2sin(3π(2x^2 - 1) - 3) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(3π(1x + 1)) - 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(3π(4x^2 - 5x - 2) - 1) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2cos(1π(-1|x + 2| - 3) - 2) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1sin(3π(3|x| + 3)), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2cos(3π(-5x - 1) + 1) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(1π(-4x^2 + 2x + 2) - 2) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3cos(2π(-1|x - 2| - 3) + 1) - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(2π(-1x^2 - 1x + 4) - 3) - 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (-2(1cos(3πx - 3) + 1) - 2)/(-2(1cos(3πx - 3) + 1) - 1) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3sin(1π(-2|x + 2| - 1) - 2) + 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (3(1sin(3πx + 3) + 1) + 1)/(-1(1sin(3πx + 3) + 1) + 2) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(3π(-3x^2 - 1x - 2)) - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(2π(-4x^2 - 3x - 1) - 3) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-1(-2sin(3πx + 3) + 3) + 2)/(-3(-2sin(3πx + 3) + 3) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(3π(1|x - 1| - 2) + 1) - 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1|(-1sin(1πx - 1) + 3) + 3| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(3π((3x - 3)/(1x - 2)) + 3) + 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3sin(2π((3x - 2)/(-2x - 1)) + 1) + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (-2(-1sin(3πx) - 3))/(-2(-1sin(3πx) - 3) - 1) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1sin(1π(4x^2 - 2x - 2) + 1) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-2(-3cos(1πx + 1) - 2) + 2)/(-3(-3cos(1πx + 1) - 2)) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1|(2cos(1πx - 1))| - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2sin(3π((3x)/(-3x - 3)) - 1) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1cos(2π(2|x - 2|)), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-1(-2cos(3πx - 3) + 3))/(3(-2cos(3πx - 3) + 3) - 2), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1|(2sin(1πx - 3) - 2) - 1| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2cos(2π(-1x + 5)) + 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3cos(2π((1x - 1)/(-2x)) + 2) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1sin(1π(2|x - 2| - 2) - 3) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(1π(1x^2 + 2x + 5) + 3) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2|(3cos(1πx + 1)) + 1| + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(3π(2x - 5) + 3) + 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(3sin(1πx + 1) + 2)| - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(2π(-2|x - 1|) + 1) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(2cos(3πx + 1) + 2) + 3| - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1|(1cos(1πx) + 2) - 2| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2|(2sin(2πx + 3) + 1) - 2| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (-3(3sin(1πx - 3)) + 1)/(-2(3sin(1πx - 3))) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1cos(1π((1x - 2)/(1x)) + 2) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3sin(3π(4x^2 - 4x + 2) + 3) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3|(2sin(2πx - 3) - 2) + 1| - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2(3sin(3πx + 1))^2 - 2(3sin(3πx + 1)) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|(-3cos(2πx - 3) - 2) - 1| - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -3cos(2π(-5x - 5) - 1) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3|(-3sin(1πx - 2) + 1) - 1| negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2cos(1π(-1x^2 - 5x + 3) - 1) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3|(3cos(2πx - 3) - 3)| negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -4(-1sin(1πx - 2))^2 + 4(-1sin(1πx - 2)) + 5 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|(-1sin(2πx - 3) + 1) + 3| + 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(1π(3|x - 1| - 3) + 1) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 5(3sin(3πx + 1)) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1sin(3π((1x + 2)/(1x - 3)) + 3) + 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2sin(1π((2x + 3)/(-2x + 3)) - 3) - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2|(3cos(3πx) - 3)| + 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2(-3cos(2πx - 3) - 1) + 5, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 5(2sin(3πx) - 1) + 5, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2(-3cos(1πx - 2) + 2)^2 + 2(-3cos(1πx - 2) + 2) - 4 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (3(-1sin(2πx - 3) - 2) + 1)/(-2(-1sin(2πx - 3) - 2) - 1) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3(1sin(1πx - 2) + 3)^2 + 3(1sin(1πx - 2) + 3) - 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1|(2cos(1πx + 1) + 1) + 2| + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-3(2sin(2πx - 2) - 2))/(2(2sin(2πx - 2) - 2) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2sin(2π(1x^2 - 2x + 3) + 2) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(3π(-2|x - 2| + 1) + 1) + 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-3(1cos(2πx - 2) - 1) - 3)/(2(1cos(2πx - 2) - 1) - 3) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2sin(3π(2x + 3) + 2), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(-2sin(1πx) + 3) + 3| + 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1cos(2π((2x - 2)/(-3x - 3)) - 1) + 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(1sin(2πx - 1) + 1)^2 + 3(1sin(2πx - 1) + 1) - 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1cos(2π(1x^2 + 1x) - 3) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3cos(3π(-2|x| - 2) - 1) + 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (-1(-3sin(1πx + 2) + 1) - 1)/(-2(-3sin(1πx + 2) + 1) + 3) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(2π(1x^2 + 4x - 5) - 2) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 5(-2cos(3πx - 2) + 2) + 5, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(2π(-1|x + 2| + 2) + 1) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(2sin(3πx - 3) - 3)^2 - 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2cos(3π(-1x) + 1) - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(1π(-2x + 2) + 1) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1|(2sin(3πx + 2) + 3) - 1| positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 5(-1sin(2πx + 2) - 3)^2 + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3(1sin(2πx - 1)) + 4 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1sin(3π(1x + 5) - 2) + 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1cos(3π(1|x + 3| + 1) + 2) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1sin(3π((1x + 2)/(-3x)) - 3) + 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-3(2cos(2πx) + 2) + 2)/(1(2cos(2πx) + 2)) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3sin(3π(-3x + 1) - 1) + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1sin(3π(5x - 2) + 1) + 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3cos(2π(5x^2 - 1x - 1) - 3) - 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1sin(2π((3x + 3)/(-1x - 3)) - 1) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -5(1cos(1πx - 1) + 1) - 5 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3(2cos(2πx) - 3) - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(-2sin(2πx) + 1) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2|(3sin(3πx + 2) - 2) - 3| + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2|(3sin(1πx - 3)) + 3| - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(2π(-2|x + 2| + 3) - 3) - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1sin(3π(-5x) - 3) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 4(1sin(2πx - 2) - 2)^2 - 4(1sin(2πx - 2) - 2) - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3cos(1π(1|x| - 3) - 2) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2|(-2cos(3πx) + 3) + 1|, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -4(-1cos(2πx + 1) + 3) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1cos(2π(5x^2 + 3x - 5)) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 1cos(3π(-1x^2 + 4x + 2) - 2) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1cos(1π(-1|x| - 3) - 3) - 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-2(-1cos(2πx - 2) + 3) + 1)/(-3(-1cos(2πx - 2) + 3)) is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (1(2sin(2πx + 2) - 1))/(-3(2sin(2πx + 2) - 1) + 1), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(1π(-2x^2 - 2) - 3) - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(3π(-4x + 1) - 2) + 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (1(-1sin(1πx - 3) - 1) - 3)/(-3(-1sin(1πx - 3) - 1)), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2sin(1π(-1x + 5) - 2) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3cos(1π(-4x^2 + 4x + 4) - 1) - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 5(-3sin(3πx) + 1)^2 - 4(-3sin(3πx) + 1) + 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(1π(-4x^2 + 4x + 5) - 2) - 1 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3sin(3π((-1x - 3)/(-3x - 2))) + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(2π(4x^2 - 2x + 1)) - 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1sin(3π(-3|x - 2|) - 3) + 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3cos(2π(1x^2 + 3x - 1) - 1) - 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2cos(1π(2x - 3) + 3) + 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2(3sin(3πx - 1) - 3)^2 - 5(3sin(3πx - 1) - 3) + 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1cos(1π(3x - 1) + 1) - 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2(3sin(1πx + 2) - 3), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (1(-2cos(1πx + 3) + 2) + 1)/(-2(-2cos(1πx + 3) + 2) + 3), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1sin(3π(2|x - 1| + 2) - 2) - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2sin(3π(3|x - 2| + 1)) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2(-2cos(2πx) - 3)^2 + 1(-2cos(2πx) - 3) + 5, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1(-2sin(3πx - 3) + 1) - 2 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(1π(-2x - 1) + 3) - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -2(3sin(1πx - 2) - 3)^2 + 4(3sin(1πx - 2) - 3) - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1sin(1π((2x - 2)/(-2x - 1))) + 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3(1sin(3πx) - 3) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -2(1cos(2πx + 2) - 1) + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(3π((2x - 3)/(2x + 2))) - 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1sin(2π(-2x - 3) - 1) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(3sin(3πx + 2) - 1)| + 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -4(3cos(1πx + 3) - 1) - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1cos(2π((-1x + 1)/(1x)) + 3) - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2cos(2π(3|x|) - 2) + 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1sin(1π(-1x^2 + 1x + 5) - 2) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(1π(2|x - 1| + 1) - 1) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2cos(3π(2|x + 3| + 1) - 1) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (3(2cos(3πx) - 3) + 1)/(-2(2cos(3πx) - 3) + 3), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-3(1sin(3πx + 2) + 3) - 3)/(3(1sin(3πx + 2) + 3) - 2), find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3sin(2π((-1x - 1)/(2x - 3)) - 3) - 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1cos(2π(2x - 1) + 1) - 3 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 2(1sin(2πx) - 1) - 4, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1cos(3π((-2x)/(-3x - 3))) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = -1(-3sin(2πx + 3) - 3)^2 + 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1(2cos(3πx - 3) + 1) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3|(2cos(1πx - 3)) - 2| is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 3(1sin(2πx))^2 + 2(1sin(2πx)) + 4 positive?

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[User]
For the function f(x) = -2sin(2π((3x + 1)/(-1x - 2)) - 2), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -5(-3cos(3πx - 1) + 3) - 3 negative?

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (2(-2sin(2πx - 2) + 2))/(2(-2sin(2πx - 2) + 2) + 1) negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(3π((1x - 3)/(3x - 1)) + 2) - 3 negative?

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[User]
For the function f(x) = 1sin(3π(-3x^2 + 1x) + 2) - 2, find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

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[User]
For the function f(x) = 1sin(1π((-1x + 3)/(2x)) + 3) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3sin(3π(5x^2 + 5x - 3)) + 2 positive?

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2|(-3sin(2πx + 2) - 2) + 3| + 2 positive?

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 1sin(3π((2x - 3)/(1x - 3)) + 1) - 2 is strictly increasing.

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(2sin(1πx + 2)) + 1 positive?

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|(-3cos(1πx + 2) + 2)| is strictly increasing.

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[User]
For the function f(x) = 2|(2sin(2πx + 1) + 3) - 1| - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(1cos(2πx) - 1) - 1| + 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1sin(3π(-3|x - 2| - 2) - 3) - 3 is strictly decreasing.

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[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 1(-2cos(3πx + 3) - 3) + 5 negative?

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[User]
For the function f(x) = -2sin(1π(-2x^2 + 1x + 4) + 2) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -2sin(1π(3|x| + 2) - 2) + 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = (-2(-3cos(3πx + 3) - 1) + 3)/(2(-3cos(3πx + 3) - 1) + 3), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = (-1(-2cos(2πx) + 3) + 1)/(-1(-2cos(2πx) + 3) - 2) positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3|(-2sin(2πx + 1) - 1) + 1| - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3|(-3cos(3πx - 2) + 1) + 1| - 2 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 5(1sin(2πx + 3) + 2) + 5 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3sin(2π(-1|x + 3| + 1) - 2) - 3 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3cos(2π(3x^2 + 3x + 3) + 1) - 1 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3|(-2cos(3πx))| - 3, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3(-1sin(2πx - 3) - 3)^2 - 5(-1sin(2πx - 3) - 3) - 3 is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3cos(1π(1|x - 3| + 2) - 1) is strictly decreasing.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(1π(-2x + 3)) - 2 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2sin(3π(-2x + 3) - 2) - 1 positive?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -4(-2sin(1πx - 1) + 2) - 5 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
For the function f(x) = 3(-2sin(3πx + 3) + 2)^2 + 3(-2sin(3πx + 3) + 2) + 1, find the number of maximal connected intervals in [-10, 10] where f'(x) > 0.

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = 2|(2sin(1πx - 3) + 3) - 3| - 3 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -3cos(3π(-1x^2 + 3x - 2)) + 1 negative?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -3cos(2π(-1|x - 2| + 3) + 1) - 2 is strictly increasing.

Present the answer in LaTex format: \boxed{Your answer}