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

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

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

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

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

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

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[User]
For the function f(x) = 1|(2|((3((-3(-2cos(3π((-2x - 3)/(2x - 1)) - 2)) - 3)/(3(-2cos(3π((-2x - 3)/(2x - 1)) - 2)) - 2)))/(3((-3(-2cos(3π((-2x - 3)/(2x - 1)) - 2)) - 3)/(3(-2cos(3π((-2x - 3)/(2x - 1)) - 2)) - 2)) - 1))|) + 3|, 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) = (-3(1(-3(1sin(1π(1(-1x + 3) + 4) - 3) - 1) - 4) + 4) - 2)/(1(1(-3(1sin(1π(1(-1x + 3) + 4) - 3) - 1) - 4) + 4) + 3) positive?

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = 3((2((-1(3sin(1π((-1(2|x + 2| - 1))/(1(2|x + 2| - 1) - 2)) + 3) + 3) + 1)/(-1(3sin(1π((-1(2|x + 2| - 1))/(1(2|x + 2| - 1) - 2)) + 3) + 3) + 3)) - 2)/(1((-1(3sin(1π((-1(2|x + 2| - 1))/(1(2|x + 2| - 1) - 2)) + 3) + 3) + 1)/(-1(3sin(1π((-1(2|x + 2| - 1))/(1(2|x + 2| - 1) - 2)) + 3) + 3) + 3)) - 3)) - 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(1|(5(4(1(-1sin(1πx - 3) - 3) - 3) - 1) - 4) + 2|) + 1)/(3(1|(5(4(1(-1sin(1πx - 3) - 3) - 3) - 1) - 4) + 2|) - 2) positive?

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

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[User]
For the function f(x) = -3(3((3(-1((1(3cos(1πx - 2) - 3) + 1)/(-2(3cos(1πx - 2) - 3) + 3)) + 5) + 2)/(-1(-1((1(3cos(1πx - 2) - 3) + 1)/(-2(3cos(1πx - 2) - 3) + 3)) + 5) + 2))^2 - 4((3(-1((1(3cos(1πx - 2) - 3) + 1)/(-2(3cos(1πx - 2) - 3) + 3)) + 5) + 2)/(-1(-1((1(3cos(1πx - 2) - 3) + 1)/(-2(3cos(1πx - 2) - 3) + 3)) + 5) + 2)) + 4)^2 - 5(3((3(-1((1(3cos(1πx - 2) - 3) + 1)/(-2(3cos(1πx - 2) - 3) + 3)) + 5) + 2)/(-1(-1((1(3cos(1πx - 2) - 3) + 1)/(-2(3cos(1πx - 2) - 3) + 3)) + 5) + 2))^2 - 4((3(-1((1(3cos(1πx - 2) - 3) + 1)/(-2(3cos(1πx - 2) - 3) + 3)) + 5) + 2)/(-1(-1((1(3cos(1πx - 2) - 3) + 1)/(-2(3cos(1πx - 2) - 3) + 3)) + 5) + 2)) + 4) - 1, 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|(1|(-3|(-3cos(2π(3((3x - 2)/(1x + 1))^2 + 1((3x - 2)/(1x + 1))) + 3) + 1) + 2| - 1)| - 1) - 1| - 1 is strictly decreasing.

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

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[User]
For the function f(x) = (3(2|(3(-2cos(2π(4(1|x + 1|) - 5) + 3) - 1)) + 2|) + 3)/(-2(2|(3(-2cos(2π(4(1|x + 1|) - 5) + 3) - 1)) + 2|)), 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) = 2(1|(-2|(5(-2sin(2π(-1x + 5)) + 3) + 5) + 1| - 2) + 1| - 2) - 5 is strictly decreasing.

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

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[User]
For the function f(x) = -5(-2|(-1((-3(3cos(3π(5x + 4) - 2)) + 1)/(-2(3cos(3π(5x + 4) - 2)))) - 2)| + 2) + 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) = 1|(-5(-1sin(3π((2(2|((2x + 1)/(3x - 2)) - 2| - 1) - 2)/(2(2|((2x + 1)/(3x - 2)) - 2| - 1) - 3)) + 1) + 1) - 4) - 3| + 1 is strictly increasing.

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

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

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

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

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

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

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

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

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

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

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

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[User]
For the function f(x) = -1|(1(-2|(3sin(3π((-1((-2x + 1)/(3x)) - 1)/(-3((-2x + 1)/(3x)) - 2)) - 2) - 1) - 3| - 2) + 2) + 1| - 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) = -4(3((-2(-1(1sin(3π(-3x^2 - 2x + 4) - 1))^2 - 3(1sin(3π(-3x^2 - 2x + 4) - 1)) + 5) - 1)/(2(-1(1sin(3π(-3x^2 - 2x + 4) - 1))^2 - 3(1sin(3π(-3x^2 - 2x + 4) - 1)) + 5) + 2)) + 2)^2 + 3(3((-2(-1(1sin(3π(-3x^2 - 2x + 4) - 1))^2 - 3(1sin(3π(-3x^2 - 2x + 4) - 1)) + 5) - 1)/(2(-1(1sin(3π(-3x^2 - 2x + 4) - 1))^2 - 3(1sin(3π(-3x^2 - 2x + 4) - 1)) + 5) + 2)) + 2) + 3 positive?

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

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[User]
For the function f(x) = 1((1(-1cos(2π(3(2((-1x - 1)/(-1x + 2)) + 5) + 1)) + 2))/(-1(-1cos(2π(3(2((-1x - 1)/(-1x + 2)) + 5) + 1)) + 2) - 1))^2 - 4, 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) = (-3(2|(-3sin(1π(5(-2(-1x - 3) + 3) + 1) - 3) + 3) + 1| + 2) + 1)/(1(2|(-3sin(1π(5(-2(-1x - 3) + 3) + 1) - 3) + 3) + 1| + 2) + 2) positive?

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

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

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

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

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[User]
For the function f(x) = -1(-2|(-2(2cos(3π((1(-5x^2 + 3x) - 3)/(-3(-5x^2 + 3x) - 3)) + 1))^2 - 4(2cos(3π((1(-5x^2 + 3x) - 3)/(-3(-5x^2 + 3x) - 3)) + 1)) - 1) - 1| - 3)^2 - 4(-2|(-2(2cos(3π((1(-5x^2 + 3x) - 3)/(-3(-5x^2 + 3x) - 3)) + 1))^2 - 4(2cos(3π((1(-5x^2 + 3x) - 3)/(-3(-5x^2 + 3x) - 3)) + 1)) - 1) - 1| - 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) = (1(2|(1|(-4(-3|(-5x^2 + 2x + 3) - 1|) - 5) - 2|) - 1| - 1) - 2)/(-1(2|(1|(-4(-3|(-5x^2 + 2x + 3) - 1|) - 5) - 2|) - 1| - 1) + 3) negative?

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[User]
For the function f(x) = 1((-2(3|(-2sin(3π((-2(4x^2 - 4x - 2) + 2)/(-2(4x^2 - 4x - 2) - 1))) - 3) + 2| - 2) + 2)/(1(3|(-2sin(3π((-2(4x^2 - 4x - 2) + 2)/(-2(4x^2 - 4x - 2) - 1))) - 3) + 2| - 2))) + 5, 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) = (2(3|((-1(2cos(1π((3(-2x^2 + 1) + 3)/(-3(-2x^2 + 1) - 1)))) + 3)/(-1(2cos(1π((3(-2x^2 + 1) + 3)/(-3(-2x^2 + 1) - 1)))) + 2)) + 3| - 1) - 2)/(-1(3|((-1(2cos(1π((3(-2x^2 + 1) + 3)/(-3(-2x^2 + 1) - 1)))) + 3)/(-1(2cos(1π((3(-2x^2 + 1) + 3)/(-3(-2x^2 + 1) - 1)))) + 2)) + 3| - 1) + 3) is strictly increasing.

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

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

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[User]
For the function f(x) = -3(3|((-3(2sin(3π((-2((-1x + 1)/(-3x - 3)) - 1)/(1((-1x + 1)/(-3x - 3)) + 2)) + 2) + 2) + 3)/(-3(2sin(3π((-2((-1x + 1)/(-3x - 3)) - 1)/(1((-1x + 1)/(-3x - 3)) + 2)) + 2) + 2) - 3)) + 1| + 2)^2 - 5(3|((-3(2sin(3π((-2((-1x + 1)/(-3x - 3)) - 1)/(1((-1x + 1)/(-3x - 3)) + 2)) + 2) + 2) + 3)/(-3(2sin(3π((-2((-1x + 1)/(-3x - 3)) - 1)/(1((-1x + 1)/(-3x - 3)) + 2)) + 2) + 2) - 3)) + 1| + 2) - 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) = -1(-1cos(1π(1(-1(-4(-2|x + 1| - 2) - 2) + 3) + 3) - 3) - 2)^2 - 4(-1cos(1π(1(-1(-4(-2|x + 1| - 2) - 2) + 3) + 3) - 3) - 2) + 1 is strictly increasing.

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

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

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

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

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

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

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

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

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

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For the function f(x) = -4(-5(-1((3(-1sin(3π((-3x + 3)/(-2x - 2)) - 1) + 3) - 3)/(1(-1sin(3π((-3x + 3)/(-2x - 2)) - 1) + 3) - 2)) + 5) - 4), 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) = 2|((-1(-3cos(1π(-1(4(-2x^2 + 3x + 3)^2 + 5(-2x^2 + 3x + 3) - 5)^2 - 1(4(-2x^2 + 3x + 3)^2 + 5(-2x^2 + 3x + 3) - 5) + 5) - 1) - 3) - 2)/(-3(-3cos(1π(-1(4(-2x^2 + 3x + 3)^2 + 5(-2x^2 + 3x + 3) - 5)^2 - 1(4(-2x^2 + 3x + 3)^2 + 5(-2x^2 + 3x + 3) - 5) + 5) - 1) - 3) - 1)) - 1| - 1 is strictly increasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-2(1|(1cos(3π(-5(1|(2x - 1) + 1| + 1)^2 - 2(1|(2x - 1) + 1| + 1) - 5) - 3) - 3)| - 1))/(3(1|(1cos(3π(-5(1|(2x - 1) + 1| + 1)^2 - 2(1|(2x - 1) + 1| + 1) - 5) - 3) - 3)| - 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(3|((3(1|(3sin(2π((-3x + 2)/(-1x + 2))))| + 1) - 2)/(-3(1|(3sin(2π((-3x + 2)/(-1x + 2))))| + 1) + 4)) - 3| - 2)^2 - 3(3|((3(1|(3sin(2π((-3x + 2)/(-1x + 2))))| + 1) - 2)/(-3(1|(3sin(2π((-3x + 2)/(-1x + 2))))| + 1) + 4)) - 3| - 2) + 3 negative?

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

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

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

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For the function f(x) = (1(2|(1(3((-2(1|x - 1| + 1) + 3)/(-1(1|x - 1| + 1) + 2))^2 - 4((-2(1|x - 1| + 1) + 3)/(-1(1|x - 1| + 1) + 2)) - 3) + 4)| - 2) + 1)/(3(2|(1(3((-2(1|x - 1| + 1) + 3)/(-1(1|x - 1| + 1) + 2))^2 - 4((-2(1|x - 1| + 1) + 3)/(-1(1|x - 1| + 1) + 2)) - 3) + 4)| - 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) = (3(-3(-5(3cos(1π(1((-2x - 2)/(3x - 2))^2 + 4((-2x - 2)/(3x - 2)) - 2) + 2) + 1) + 1)^2 - 5(-5(3cos(1π(1((-2x - 2)/(3x - 2))^2 + 4((-2x - 2)/(3x - 2)) - 2) + 2) + 1) + 1) - 5))/(2(-3(-5(3cos(1π(1((-2x - 2)/(3x - 2))^2 + 4((-2x - 2)/(3x - 2)) - 2) + 2) + 1) + 1)^2 - 5(-5(3cos(1π(1((-2x - 2)/(3x - 2))^2 + 4((-2x - 2)/(3x - 2)) - 2) + 2) + 1) + 1) - 5) - 1) positive?

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

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

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

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

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

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

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

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For the function f(x) = -5(-2|(-3cos(2π(2|(4((2x - 2)/(3x + 2))^2 - 4((2x - 2)/(3x + 2)) + 5) + 2|) - 1) + 1) + 1| - 3) - 1, 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) = 1(3sin(1π((-1(4((-2(-1|x + 3|) + 3)/(-3(-1|x + 3|) - 2)) + 2) + 3)/(-1(4((-2(-1|x + 3|) + 3)/(-3(-1|x + 3|) - 2)) + 2))) + 2) + 3)^2 - 4(3sin(1π((-1(4((-2(-1|x + 3|) + 3)/(-3(-1|x + 3|) - 2)) + 2) + 3)/(-1(4((-2(-1|x + 3|) + 3)/(-3(-1|x + 3|) - 2)) + 2))) + 2) + 3) + 1 is strictly decreasing.

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

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

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

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

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

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

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

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

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

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Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (-1(1|(-2cos(2π(-1(3(-5x - 2) - 4) + 1) - 2) + 2) - 3| - 2) - 2)/(-3(1|(-2cos(2π(-1(3(-5x - 2) - 4) + 1) - 2) + 2) - 3| - 2) + 2) is strictly decreasing.

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

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

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[User]
For the function f(x) = (3((-2(-1|(2|(-1sin(1π(-5x - 4) - 3) + 3) + 1| + 1) + 2| - 1) - 2)/(1(-1|(2|(-1sin(1π(-5x - 4) - 3) + 3) + 1| + 1) + 2| - 1))) + 1)/(3((-2(-1|(2|(-1sin(1π(-5x - 4) - 3) + 3) + 1| + 1) + 2| - 1) - 2)/(1(-1|(2|(-1sin(1π(-5x - 4) - 3) + 3) + 1| + 1) + 2| - 1))) + 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) = (-3(3(3cos(1π(-3|(5(-2|x + 3| + 3) + 3) + 1| - 3) - 2) - 1) - 5) + 3)/(3(3(3cos(1π(-3|(5(-2|x + 3| + 3) + 3) + 1| - 3) - 2) - 1) - 5) - 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) = (3((2(1((-1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)/(1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2))^2 - 5((-1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)/(1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)) + 4) + 3)/(-1(1((-1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)/(1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2))^2 - 5((-1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)/(1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)) + 4) + 2)))/(2((2(1((-1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)/(1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2))^2 - 5((-1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)/(1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)) + 4) + 3)/(-1(1((-1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)/(1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2))^2 - 5((-1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)/(1(-1|(-3cos(2πx - 1) - 1)| - 3) - 2)) + 4) + 2)) + 2), 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) = -2|(5(-1|(2|(1|(1sin(3πx - 3) - 3) - 2| - 2) - 1| + 3)|) + 5) - 3| + 1 is strictly decreasing.

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

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[User]
For the function f(x) = -3(-1sin(3π((2(4(-2((2x - 1)/(2x + 3)) - 1)^2 - 1(-2((2x - 1)/(2x + 3)) - 1) - 2) - 3)/(3(4(-2((2x - 1)/(2x + 3)) - 1)^2 - 1(-2((2x - 1)/(2x + 3)) - 1) - 2) + 2)) + 1))^2 - 3(-1sin(3π((2(4(-2((2x - 1)/(2x + 3)) - 1)^2 - 1(-2((2x - 1)/(2x + 3)) - 1) - 2) - 3)/(3(4(-2((2x - 1)/(2x + 3)) - 1)^2 - 1(-2((2x - 1)/(2x + 3)) - 1) - 2) + 2)) + 1)), 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(1|(2(1|((2(-1|x - 2| + 2))/(-1(-1|x - 2| + 2) - 3)) - 2| - 1) - 2) - 2| - 1) - 2 is strictly increasing.

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

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -5((-1(-3|(-2cos(2π(1|(-1x + 5) + 2| - 2) - 1) - 3) + 3| - 2) + 1)/(-2(-3|(-2cos(2π(1|(-1x + 5) + 2| - 2) - 1) - 3) + 3| - 2))) - 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(-5(-5((1(4(1x + 5)^2 - 2(1x + 5) - 1) - 1)/(-1(4(1x + 5)^2 - 2(1x + 5) - 1) + 2))^2 - 2((1(4(1x + 5)^2 - 2(1x + 5) - 1) - 1)/(-1(4(1x + 5)^2 - 2(1x + 5) - 1) + 2)) + 4)^2 + 4(-5((1(4(1x + 5)^2 - 2(1x + 5) - 1) - 1)/(-1(4(1x + 5)^2 - 2(1x + 5) - 1) + 2))^2 - 2((1(4(1x + 5)^2 - 2(1x + 5) - 1) - 1)/(-1(4(1x + 5)^2 - 2(1x + 5) - 1) + 2)) + 4) + 3) + 2)/(1(-5(-5((1(4(1x + 5)^2 - 2(1x + 5) - 1) - 1)/(-1(4(1x + 5)^2 - 2(1x + 5) - 1) + 2))^2 - 2((1(4(1x + 5)^2 - 2(1x + 5) - 1) - 1)/(-1(4(1x + 5)^2 - 2(1x + 5) - 1) + 2)) + 4)^2 + 4(-5((1(4(1x + 5)^2 - 2(1x + 5) - 1) - 1)/(-1(4(1x + 5)^2 - 2(1x + 5) - 1) + 2))^2 - 2((1(4(1x + 5)^2 - 2(1x + 5) - 1) - 1)/(-1(4(1x + 5)^2 - 2(1x + 5) - 1) + 2)) + 4) + 3) + 2) negative?

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

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

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

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

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

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[User]
For the function f(x) = -2e^(-1(1|(-5(3|(-1(-2x - 1) + 5) - 2| - 2)^2 - 3(3|(-1(-2x - 1) + 5) - 2| - 2) - 2) + 3| + 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) = 3|((2(2cos(3π(-5(3|(4x^2 - 4x - 2) - 2| - 1)) - 2) + 2) - 1)/(1(2cos(3π(-5(3|(4x^2 - 4x - 2) - 2| - 1)) - 2) + 2))) + 3| + 1 negative?

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[User]
For the function f(x) = 1|(3cos(2π(-4(1((2(-1x^2 + 4x - 5) + 1)/(1(-1x^2 + 4x - 5) + 2))^2 + 2((2(-1x^2 + 4x - 5) + 1)/(1(-1x^2 + 4x - 5) + 2)))^2 + 3(1((2(-1x^2 + 4x - 5) + 1)/(1(-1x^2 + 4x - 5) + 2))^2 + 2((2(-1x^2 + 4x - 5) + 1)/(1(-1x^2 + 4x - 5) + 2)))) - 3) - 3) + 1|, 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) = -1((1(-1sin(1π(-4(2|((-1x - 3)/(-1x))|) - 3) + 2) - 1) + 1)/(2(-1sin(1π(-4(2|((-1x - 3)/(-1x))|) - 3) + 2) - 1) - 3))^2 - 4((1(-1sin(1π(-4(2|((-1x - 3)/(-1x))|) - 3) + 2) - 1) + 1)/(2(-1sin(1π(-4(2|((-1x - 3)/(-1x))|) - 3) + 2) - 1) - 3)) + 3 is strictly increasing.

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

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[User]
For the function f(x) = 2sin(2π(-5(2((3(1(3|x| - 1) - 3) - 2)/(1(1(3|x| - 1) - 3) + 2))^2 + 4((3(1(3|x| - 1) - 3) - 2)/(1(1(3|x| - 1) - 3) + 2)) - 1) + 2) - 3) - 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) = (2(1|(-5(-2sin(1π(1((2x + 2)/(1x - 3)) + 1) + 2) + 3)^2 - 4(-2sin(1π(1((2x + 2)/(1x - 3)) + 1) + 2) + 3) - 5) - 1|) - 1)/(-1(1|(-5(-2sin(1π(1((2x + 2)/(1x - 3)) + 1) + 2) + 3)^2 - 4(-2sin(1π(1((2x + 2)/(1x - 3)) + 1) + 2) + 3) - 5) - 1|)) positive?

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

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[User]
For the function f(x) = (-2((-2(1(3|(4(3sin(2πx + 2) - 2) - 3)| + 2) + 3) - 1)/(2(1(3|(4(3sin(2πx + 2) - 2) - 3)| + 2) + 3) - 3)) - 1)/(1((-2(1(3|(4(3sin(2πx + 2) - 2) - 3)| + 2) + 3) - 1)/(2(1(3|(4(3sin(2πx + 2) - 2) - 3)| + 2) + 3) - 3)) - 2), 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(2|(-3|(4(-3cos(1π(2|x| - 1) - 2) - 2) + 5) - 2| + 1) + 2| + 2) is strictly increasing.

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

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

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

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

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

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

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

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

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

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[User]
For the function f(x) = -5(2cos(2π(1(1(3(-1|x - 1| + 3)^2 + 3)^2 + 1(3(-1|x - 1| + 3)^2 + 3) - 2)) - 3) + 1)^2 - 3(2cos(2π(1(1(3(-1|x - 1| + 3)^2 + 3)^2 + 1(3(-1|x - 1| + 3)^2 + 3) - 2)) - 3) + 1) + 5, 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) = (-3(-1(3(-1(1sin(3π(1x + 1) + 1) + 1)^2 - 3(1sin(3π(1x + 1) + 1) + 1) + 3)^2 - 3(-1(1sin(3π(1x + 1) + 1) + 1)^2 - 3(1sin(3π(1x + 1) + 1) + 1) + 3) + 3) + 2) - 1)/(-2(-1(3(-1(1sin(3π(1x + 1) + 1) + 1)^2 - 3(1sin(3π(1x + 1) + 1) + 1) + 3)^2 - 3(-1(1sin(3π(1x + 1) + 1) + 1)^2 - 3(1sin(3π(1x + 1) + 1) + 1) + 3) + 3) + 2) - 3) positive?

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

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (3(-2|(-2|(2|(-1|(-3|x + 1| + 3)| - 1) + 1| - 1) + 3| + 3) + 3| + 3) + 2)/(-2(-2|(-2|(2|(-1|(-3|x + 1| + 3)| - 1) + 1| - 1) + 3| + 3) + 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) = 3(2|((3(3cos(1π(-1(2x - 2)^2 - 3(2x - 2) - 4) - 2) - 3) - 2)/(1(3cos(1π(-1(2x - 2)^2 - 3(2x - 2) - 4) - 2) - 3) - 3)) - 2| - 2)^2 - 4(2|((3(3cos(1π(-1(2x - 2)^2 - 3(2x - 2) - 4) - 2) - 3) - 2)/(1(3cos(1π(-1(2x - 2)^2 - 3(2x - 2) - 4) - 2) - 3) - 3)) - 2| - 2) - 2 positive?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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[User]
For the function f(x) = -5(2cos(1π(2((-2(3|(2x^2 - 4x - 4) + 2| - 1) + 2)/(1(3|(2x^2 - 4x - 4) + 2| - 1) + 2)) + 3) - 1) - 3)^2 - 1(2cos(1π(2((-2(3|(2x^2 - 4x - 4) + 2| - 1) + 2)/(1(3|(2x^2 - 4x - 4) + 2| - 1) + 2)) + 3) - 1) - 3) + 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|(5(-1((-3(-1sin(1π(2|x + 1| + 2) + 3) + 3))/(-2(-1sin(1π(2|x + 1| + 2) + 3) + 3) - 2)) + 1) + 1) - 1| + 1 is strictly decreasing.

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

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

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[User]
For the function f(x) = 5((1(3(-5(-5(1x - 1)^2 - 5(1x - 1) + 1)^2 + 1(-5(1x - 1)^2 - 5(1x - 1) + 1) + 4)^2 + 3(-5(-5(1x - 1)^2 - 5(1x - 1) + 1)^2 + 1(-5(1x - 1)^2 - 5(1x - 1) + 1) + 4) - 3) + 1)/(-1(3(-5(-5(1x - 1)^2 - 5(1x - 1) + 1)^2 + 1(-5(1x - 1)^2 - 5(1x - 1) + 1) + 4)^2 + 3(-5(-5(1x - 1)^2 - 5(1x - 1) + 1)^2 + 1(-5(1x - 1)^2 - 5(1x - 1) + 1) + 4) - 3) + 2)) + 2, 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) = 2|((1(-1|(3(1(-1cos(2πx + 1) + 2) + 2)^2 - 4(1(-1cos(2πx + 1) + 2) + 2) - 3) - 2| - 3) + 2)/(2(-1|(3(1(-1cos(2πx + 1) + 2) + 2)^2 - 4(1(-1cos(2πx + 1) + 2) + 2) - 3) - 2| - 3) + 3)) - 3| - 2 is strictly decreasing.

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

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

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

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[User]
For the function f(x) = (3(-3|(3sin(2π(-1(-1|((1x + 3)/(1x - 3)) + 2| - 2)^2 - 3(-1|((1x + 3)/(1x - 3)) + 2| - 2))) - 3) - 1| + 1) + 2)/(3(-3|(3sin(2π(-1(-1|((1x + 3)/(1x - 3)) + 2| - 2)^2 - 3(-1|((1x + 3)/(1x - 3)) + 2| - 2))) - 3) - 1| + 1) - 2), 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) = 2|((1(2cos(1π(1(-4(-5x^2 - 2x - 1)^2 - 2(-5x^2 - 2x - 1) + 5)) - 2) + 1) - 1)/(1(2cos(1π(1(-4(-5x^2 - 2x - 1)^2 - 2(-5x^2 - 2x - 1) + 5)) - 2) + 1) + 1)) - 1| + 3 is strictly decreasing.

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[User]
For the function f(x) = 2|((3(1(1|(3(-1x^2 + 1)^2 + 4(-1x^2 + 1) - 2) + 3| - 3) + 5) + 2)/(-1(1(1|(3(-1x^2 + 1)^2 + 4(-1x^2 + 1) - 2) + 3| - 3) + 5) - 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) = -1(2|(-5((2(-2cos(2π((1x + 1)/(1x)) - 1) - 1) - 1)/(-2(-2cos(2π((1x + 1)/(1x)) - 1) - 1) - 2))^2 + 1((2(-2cos(2π((1x + 1)/(1x)) - 1) - 1) - 1)/(-2(-2cos(2π((1x + 1)/(1x)) - 1) - 1) - 2)) - 4) - 2| + 1)^2 + 1(2|(-5((2(-2cos(2π((1x + 1)/(1x)) - 1) - 1) - 1)/(-2(-2cos(2π((1x + 1)/(1x)) - 1) - 1) - 2))^2 + 1((2(-2cos(2π((1x + 1)/(1x)) - 1) - 1) - 1)/(-2(-2cos(2π((1x + 1)/(1x)) - 1) - 1) - 2)) - 4) - 2| + 1) + 4 is strictly increasing.

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

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

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

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

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

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

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

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[User]
For the function f(x) = (-3(1sin(3π((-1(5((2((2x + 3)/(-1x - 2)) + 3)/(-3((2x + 3)/(-1x - 2)) - 1)) - 5) + 3)/(-2(5((2((2x + 3)/(-1x - 2)) + 3)/(-3((2x + 3)/(-1x - 2)) - 1)) - 5) - 3)) - 1) + 3) - 3)/(2(1sin(3π((-1(5((2((2x + 3)/(-1x - 2)) + 3)/(-3((2x + 3)/(-1x - 2)) - 1)) - 5) + 3)/(-2(5((2((2x + 3)/(-1x - 2)) + 3)/(-3((2x + 3)/(-1x - 2)) - 1)) - 5) - 3)) - 1) + 3) - 1), 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) = 1sin(1π(-3(-5((-2((-1(-4x - 2) - 3)/(-1(-4x - 2) + 3)) - 3)/(1((-1(-4x - 2) - 3)/(-1(-4x - 2) + 3)) + 1))^2 - 5)^2 - 1(-5((-2((-1(-4x - 2) - 3)/(-1(-4x - 2) + 3)) - 3)/(1((-1(-4x - 2) - 3)/(-1(-4x - 2) + 3)) + 1))^2 - 5) - 5) - 3) + 2 is strictly decreasing.

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[User]
For the function f(x) = 1((-1(2cos(1π(2(-1((1x - 3)/(-3x - 3))^2 + 1)^2 + 1(-1((1x - 3)/(-3x - 3))^2 + 1) + 2) + 1) + 3) - 2)/(-1(2cos(1π(2(-1((1x - 3)/(-3x - 3))^2 + 1)^2 + 1(-1((1x - 3)/(-3x - 3))^2 + 1) + 2) + 1) + 3) + 2)) - 5, 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) = 1(-3|(-1sin(2π(2|(2|((-1x - 1)/(-1x + 3)) + 3| + 2) + 1| - 2) - 2) - 3) + 3|)^2 + 4(-3|(-1sin(2π(2|(2|((-1x - 1)/(-1x + 3)) + 3| + 2) + 1| - 2) - 2) - 3) + 3|) - 1 is strictly decreasing.

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

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

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

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = -1|((3(1|(2(-4(-1cos(2πx) - 3)^2 + 3(-1cos(2πx) - 3) + 4) + 2) - 2| - 1) - 3)/(-3(1|(2(-4(-1cos(2πx) - 3)^2 + 3(-1cos(2πx) - 3) + 4) + 2) - 2| - 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(-2(-5(-3cos(2π(-1(3x^2 - 5x - 5) + 5)) + 2)^2 + 5(-3cos(2π(-1(3x^2 - 5x - 5) + 5)) + 2) + 2) - 1) - 5 positive?

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

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[User]
For the function f(x) = -2((-2(-4(1(-1|(2cos(1πx - 1) + 1) + 1| - 3) - 4) - 2) + 1)/(-1(-4(1(-1|(2cos(1πx - 1) + 1) + 1| - 3) - 4) - 2)))^2 - 3((-2(-4(1(-1|(2cos(1πx - 1) + 1) + 1| - 3) - 4) - 2) + 1)/(-1(-4(1(-1|(2cos(1πx - 1) + 1) + 1| - 3) - 4) - 2))) - 3, 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((-2(4(-3sin(3π((-1(3|x - 3| + 1) + 3)/(1(3|x - 3| + 1) + 1)) - 1) - 2) + 3) + 1)/(1(4(-3sin(3π((-1(3|x - 3| + 1) + 3)/(1(3|x - 3| + 1) + 1)) - 1) - 2) + 3) - 2)) - 4 negative?

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[User]
For the function f(x) = -3|(2((2(-2(1|(3x - 1) - 3| - 1)^2 + 5(1|(3x - 1) - 3| - 1) - 1) + 3)/(-1(-2(1|(3x - 1) - 3| - 1)^2 + 5(1|(3x - 1) - 3| - 1) - 1)))^2 + 1((2(-2(1|(3x - 1) - 3| - 1)^2 + 5(1|(3x - 1) - 3| - 1) - 1) + 3)/(-1(-2(1|(3x - 1) - 3| - 1)^2 + 5(1|(3x - 1) - 3| - 1) - 1))) + 1) - 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) = (-2(1sin(2π((3(2((-2(1x^2 - 2x + 2) - 3)/(-2(1x^2 - 2x + 2) + 3))^2 - 2((-2(1x^2 - 2x + 2) - 3)/(-2(1x^2 - 2x + 2) + 3)) - 1) - 1)/(1(2((-2(1x^2 - 2x + 2) - 3)/(-2(1x^2 - 2x + 2) + 3))^2 - 2((-2(1x^2 - 2x + 2) - 3)/(-2(1x^2 - 2x + 2) + 3)) - 1) - 2))) - 3) + 1)/(2(1sin(2π((3(2((-2(1x^2 - 2x + 2) - 3)/(-2(1x^2 - 2x + 2) + 3))^2 - 2((-2(1x^2 - 2x + 2) - 3)/(-2(1x^2 - 2x + 2) + 3)) - 1) - 1)/(1(2((-2(1x^2 - 2x + 2) - 3)/(-2(1x^2 - 2x + 2) + 3))^2 - 2((-2(1x^2 - 2x + 2) - 3)/(-2(1x^2 - 2x + 2) + 3)) - 1) - 2))) - 3) + 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) = 2|(1((-2(-1(2|(4x + 1) + 3| - 1)^2 + 1(2|(4x + 1) + 3| - 1) + 2) + 1)/(-2(-1(2|(4x + 1) + 3| - 1)^2 + 1(2|(4x + 1) + 3| - 1) + 2) - 3)) - 1) - 1| - 3, 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) = (2(4(1|(1|(-4((-2x + 2)/(1x))^2 - 3((-2x + 2)/(1x)))| + 1) - 2| + 3) - 5) + 2)/(-2(4(1|(1|(-4((-2x + 2)/(1x))^2 - 3((-2x + 2)/(1x)))| + 1) - 2| + 3) - 5) + 3) positive?

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[User]
For the function f(x) = 3|(3((-3(5(2|(1x^2 + 2x - 5) + 1| - 3)^2 + 1(2|(1x^2 + 2x - 5) + 1| - 3) + 3) + 1)/(1(5(2|(1x^2 + 2x - 5) + 1| - 3)^2 + 1(2|(1x^2 + 2x - 5) + 1| - 3) + 3) - 2))^2 - 2((-3(5(2|(1x^2 + 2x - 5) + 1| - 3)^2 + 1(2|(1x^2 + 2x - 5) + 1| - 3) + 3) + 1)/(1(5(2|(1x^2 + 2x - 5) + 1| - 3)^2 + 1(2|(1x^2 + 2x - 5) + 1| - 3) + 3) - 2)) - 4) - 1| - 2, 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) = 1cos(2π(-2(2(-3(2|((1x)/(2x - 1)) - 2| + 3)^2 - 2(2|((1x)/(2x - 1)) - 2| + 3) + 5) - 5) + 5) + 2) - 1 is strictly decreasing.

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

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

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

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

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

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

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[User]
For the function f(x) = 1((2(-3|(-2|(2(-1x^2 - 1x + 4)^2 + 4(-1x^2 - 1x + 4) + 4) - 3| - 1) - 3| + 3) + 1)/(-1(-3|(-2|(2(-1x^2 - 1x + 4)^2 + 4(-1x^2 - 1x + 4) + 4) - 3| - 1) - 3| + 3) + 3))^2 + 1((2(-3|(-2|(2(-1x^2 - 1x + 4)^2 + 4(-1x^2 - 1x + 4) + 4) - 3| - 1) - 3| + 3) + 1)/(-1(-3|(-2|(2(-1x^2 - 1x + 4)^2 + 4(-1x^2 - 1x + 4) + 4) - 3| - 1) - 3| + 3) + 3)) + 5, 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(2cos(3π(1(4(2|((1x - 2)/(2x - 3)) + 2|) - 5)^2 - 4(4(2|((1x - 2)/(2x - 3)) + 2|) - 5)) - 1) - 3)^2 - 3(2cos(3π(1(4(2|((1x - 2)/(2x - 3)) + 2|) - 5)^2 - 4(4(2|((1x - 2)/(2x - 3)) + 2|) - 5)) - 1) - 3) + 1 positive?

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

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

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

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[User]
For the function f(x) = (-2(1(-4(-2cos(1π((-3(2|x + 2| + 1) - 3)/(2(2|x + 2| + 1) - 1)) + 2) + 2) + 3)^2 + 5(-4(-2cos(1π((-3(2|x + 2| + 1) - 3)/(2(2|x + 2| + 1) - 1)) + 2) + 2) + 3) + 1))/(2(1(-4(-2cos(1π((-3(2|x + 2| + 1) - 3)/(2(2|x + 2| + 1) - 1)) + 2) + 2) + 3)^2 + 5(-4(-2cos(1π((-3(2|x + 2| + 1) - 3)/(2(2|x + 2| + 1) - 1)) + 2) + 2) + 3) + 1) + 2), 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) = (2((-1(-3|(4(5(1|x - 2| - 1))^2 - 3(5(1|x - 2| - 1)) - 4) - 2| + 1) + 2)/(-1(-3|(4(5(1|x - 2| - 1))^2 - 3(5(1|x - 2| - 1)) - 4) - 2| + 1) - 2)) - 1)/(2((-1(-3|(4(5(1|x - 2| - 1))^2 - 3(5(1|x - 2| - 1)) - 4) - 2| + 1) + 2)/(-1(-3|(4(5(1|x - 2| - 1))^2 - 3(5(1|x - 2| - 1)) - 4) - 2| + 1) - 2)) - 3) is strictly increasing.

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

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[User]
For the function f(x) = 3|(3|(-3(2|(1|(2x - 4)| - 2) + 1| - 3)^2 + 5(2|(1|(2x - 4)| - 2) + 1| - 3) - 2) + 1| - 2) + 2| - 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(2π(1(-1(1|(-3|(3x^2 - 5x + 1) - 2| + 1) + 3|) + 1)^2 + 1(-1(1|(-3|(3x^2 - 5x + 1) - 2| + 1) + 3|) + 1) + 4) + 3) + 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) = 2|(3(2(-4(2(-1cos(2πx + 2) - 3) + 3)^2 - 5(2(-1cos(2πx + 2) - 3) + 3) + 5) - 3) - 2) - 1| - 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) = -3(-2|((3(-2(-3|(1e^(1x) + 2) - 3|) - 5) + 2)/(-2(-2(-3|(1e^(1x) + 2) - 3|) - 5) + 3)) - 1| + 3)^2 + 4(-2|((3(-2(-3|(1e^(1x) + 2) - 3|) - 5) + 2)/(-2(-2(-3|(1e^(1x) + 2) - 3|) - 5) + 3)) - 1| + 3) - 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) = 1(-1|((-1(-3(-1sin(1π(-3x + 1)) + 1)^2 - 1) - 3)/(-1(-3(-1sin(1π(-3x + 1)) + 1)^2 - 1) + 2)) - 2| - 3)^2 + 2(-1|((-1(-3(-1sin(1π(-3x + 1)) + 1)^2 - 1) - 3)/(-1(-3(-1sin(1π(-3x + 1)) + 1)^2 - 1) + 2)) - 2| - 3) - 4, 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) = 3cos(3π(-2(1|(-1(-3|(2|x + 2| + 1) - 3| + 1) - 5) - 2| + 1) + 1) - 3) negative?

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

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[User]
For the function f(x) = 2|(-2|(-3((-1(3cos(3π(-5x^2 + 4x - 2) + 3) - 2) + 1)/(1(3cos(3π(-5x^2 + 4x - 2) + 3) - 2) + 2)) - 1) - 3|)| - 3, 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) = 1(3(1(-1cos(1π(-2|(1x - 4) + 1| - 2) - 1) - 1) - 4)^2 - 2(1(-1cos(1π(-2|(1x - 4) + 1| - 2) - 1) - 1) - 4) - 3) - 3 positive?

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[User]
For the function f(x) = -1|(2|(-4(3|(-2(1sin(1πx - 1))^2 - 1(1sin(1πx - 1)) - 4) + 1| + 1)^2 - 5(3|(-2(1sin(1πx - 1))^2 - 1(1sin(1πx - 1)) - 4) + 1| + 1) + 5) + 3| + 1) + 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) = 1(1cos(3π((-1((2(2((3x - 2)/(-1x + 3)) + 3) + 1)/(-2(2((3x - 2)/(-1x + 3)) + 3) - 2)) - 3)/(2((2(2((3x - 2)/(-1x + 3)) + 3) + 1)/(-2(2((3x - 2)/(-1x + 3)) + 3) - 2)) + 3)) - 2) + 3)^2 + 5(1cos(3π((-1((2(2((3x - 2)/(-1x + 3)) + 3) + 1)/(-2(2((3x - 2)/(-1x + 3)) + 3) - 2)) - 3)/(2((2(2((3x - 2)/(-1x + 3)) + 3) + 1)/(-2(2((3x - 2)/(-1x + 3)) + 3) - 2)) + 3)) - 2) + 3) - 4, 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) = -4(-2cos(3π(-5(1|(2((-3x - 3)/(-1x + 3)) + 4)| + 2) + 1) + 1) + 1) - 5 is strictly decreasing.

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[User]
Determine the number of maximal connected intervals in [-10, 10] where the function f(x) = (1(2|(-2cos(3π(-4((-1((2x + 3)/(1x)) - 1)/(2((2x + 3)/(1x)) - 1))^2 + 5((-1((2x + 3)/(1x)) - 1)/(2((2x + 3)/(1x)) - 1)) - 2)) + 3) + 1| - 3) - 3)/(2(2|(-2cos(3π(-4((-1((2x + 3)/(1x)) - 1)/(2((2x + 3)/(1x)) - 1))^2 + 5((-1((2x + 3)/(1x)) - 1)/(2((2x + 3)/(1x)) - 1)) - 2)) + 3) + 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) = 1|(2((3(3(3sin(3π(5x - 4) - 3)) + 4) + 2)/(-3(3(3sin(3π(5x - 4) - 3)) + 4) + 2)) + 3)| + 2 negative?

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

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

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

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

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

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[User]
For the function f(x) = 1cos(1π((-3((1(2|((1((-1x + 3)/(-1x - 1)))/(-1((-1x + 3)/(-1x - 1)) - 1)) - 1| + 3) - 2)/(-1(2|((1((-1x + 3)/(-1x - 1)))/(-1((-1x + 3)/(-1x - 1)) - 1)) - 1| + 3))) - 1)/(1((1(2|((1((-1x + 3)/(-1x - 1)))/(-1((-1x + 3)/(-1x - 1)) - 1)) - 1| + 3) - 2)/(-1(2|((1((-1x + 3)/(-1x - 1)))/(-1((-1x + 3)/(-1x - 1)) - 1)) - 1| + 3))) + 1)) + 3) - 1, 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) = 1(2(2cos(2π((-3(3|((-3x - 1)/(-3x)) - 3| + 3) + 3)/(1(3|((-3x - 1)/(-3x)) - 3| + 3) - 3)) + 2) - 1)^2 + 2(2cos(2π((-3(3|((-3x - 1)/(-3x)) - 3| + 3) + 3)/(1(3|((-3x - 1)/(-3x)) - 3| + 3) - 3)) + 2) - 1) + 5)^2 - 2(2(2cos(2π((-3(3|((-3x - 1)/(-3x)) - 3| + 3) + 3)/(1(3|((-3x - 1)/(-3x)) - 3| + 3) - 3)) + 2) - 1)^2 + 2(2cos(2π((-3(3|((-3x - 1)/(-3x)) - 3| + 3) + 3)/(1(3|((-3x - 1)/(-3x)) - 3| + 3) - 3)) + 2) - 1) + 5) - 4 is strictly increasing.

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

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[User]
For the function f(x) = -5(-4(2((2(2sin(2π(4x + 5)) - 3) - 1)/(3(2sin(2π(4x + 5)) - 3) - 1))^2 + 2((2(2sin(2π(4x + 5)) - 3) - 1)/(3(2sin(2π(4x + 5)) - 3) - 1)) + 2) - 1), 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) = -1|(1sin(2π(1|(2|(-1(-1|x + 1| + 1) - 5) - 3| + 3) - 2| + 1)) + 3) + 2| - 1 is strictly decreasing.

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

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

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