Question

What is the derivative of `f( x) = cos^5 ( x)`?

Answer 1

`f' (x)=-5*sin x* cos^4 x`

Explanation:

We start from the given

`f(x) =cos^5 x`

`f' (x)=5*cos^(5-1) x* d/dx(cos x)`

`f' (x)=5*cos^4 x*(- sin x)`

`f' (x)=-5*sin x* cos^4 x`

God bless....I hope the explanation is useful.