`y = cos(1 - 2x)^2` Find the derivative of the function.

Textbook Question

Chapter 2, 2.4 - Problem 48 - Calculus of a Single Variable (10th Edition, Ron Larson).
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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You need to evaluate the derivative of the function, hence you need to use the chain rule, differentiating first the cosine, then the power function and then the argument, such that:

`y' = (cos(1-2x)^2)'*((1-2x)^2)'*(1-2x)'`

`y'=(-sin(1-2x)^2)*(2(1-2x))*(-2)`

`y' = (4sin(1-2x)^2)*(1-2x)`

Hence, evaluating the derivative of the function, yields `y' = (4sin(1-2x)^2)*(1-2x).`

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