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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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(2|((-3x - 3)/(1x + 3)) + 2| + 2) + 3) + 3) + 3|) - 1)/(-1(-3|(-2cos(2π(2|((-3x - 3)/(1x + 3)) + 2| + 2) + 3) + 3) + 3|) + 2))^2 + 1((-2(-3|(-2cos(2π(2|((-3x - 3)/(1x + 3)) + 2| + 2) + 3) + 3) + 3|) - 1)/(-1(-3|(-2cos(2π(2|((-3x - 3)/(1x + 3)) + 2| + 2) + 3) + 3) + 3|) + 2)) + 2 positive?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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