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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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(3cos(2πx - 2) - 3) - 2)/(-3(3cos(2πx - 2) - 3)))^2 - 3((3(3cos(2πx - 2) - 3) - 2)/(-3(3cos(2πx - 2) - 3))) - 2) - 3| + 2) - 3)/(-1(-1|(-1((3(3cos(2πx - 2) - 3) - 2)/(-3(3cos(2πx - 2) - 3)))^2 - 3((3(3cos(2πx - 2) - 3) - 2)/(-3(3cos(2πx - 2) - 3))) - 2) - 3| + 2) - 2)) - 4 negative?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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