# Finding derivative of f(X) = sin(cos(x^5))

alright so i was given this problem:
f(X) = sin(cos(x^5))
and it tell me to find the first derivative of it.
would i first solve the derivative of (cos(x^5)) first and then that answer with sin?
or would i use the chain rule?

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James R
Homework Helper
Gold Member
Chain rule.

Start by putting $u=cos(x^2)$ and $y = sin u.$

James R
Start by putting $u=cos(x^2)$ and $y = sin u.$