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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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(2π(3x^2 + 1x + 5) + 3)) - 1| - 3) - 5)^2 - 3(-4(-1|(1cos(2π(3x^2 + 1x + 5) + 3)) - 1| - 3) - 5) + 4) + 2)/(-2(-1(-4(-1|(1cos(2π(3x^2 + 1x + 5) + 3)) - 1| - 3) - 5)^2 - 3(-4(-1|(1cos(2π(3x^2 + 1x + 5) + 3)) - 1| - 3) - 5) + 4) + 3) negative?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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