# Given {eq}f(x) = \cos(\sin(x^2)) {/eq}, find {eq}f'(x) \enspace and \enspace f'(1) {/eq}

## Question:

Given {eq}f(x) = \cos(\sin(x^2)) {/eq}, find {eq}f'(x) \enspace and \enspace f'(1) {/eq}

## Derivatives:

We have a function which is a cosine of a sine function. We will use the chain rule for differentiation in this question as done in the solution. The chain rule is:

{eq}f(g(x))=f'(g(x))g'(x) {/eq}

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