`f(theta) = (tan(5theta))^2` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 55 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`f(theta) = {tan5(theta)}^2 = tan^2(5theta)`

`thus, f'(theta) = 2*tan(5theta)*sec^2(5theta)*5`

`or, f'(theta) = 10*tan(5theta)*sec^2(5theta)`

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