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

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

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

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

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[User]
For the function f(x) = -1cos(3π(-3|x - 2| + 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]
On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -1|(-1sin(1πx - 3) - 1) - 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) = -2sin(2π(-2|x - 1|)) - 3 is strictly decreasing.

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

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


[User]
For the function f(x) = 4(-2sin(2πx - 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]
For the function f(x) = 5(-3sin(2πx - 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) = (-1(2sin(2πx + 1) + 2) + 3)/(-2(2sin(2πx + 1) + 2) + 1) negative?

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 2|(-2sin(2πx - 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) = -3cos(2π(3x^2) - 1) - 2 negative?

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


[User]
For the function f(x) = -1(3sin(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}