Question

What is the derivative of `cos^7(e^x)`?

Answer 1

`y'=7cos^6(e^x)(-sin(e^(x)))*e^x`

Explanation:

By the power and the chain rule we get

`y'=7cos^(7-1)*(-sin(e^x))*e^x`
since
`(cos(x))'=-sin(x)`
`(e^x)'=e^x`