Question

What is the derivative of `f(x)=sinx(sinx+cosx)`?

Answer 1

`f'(x)=cosx(sin x+cos x)(cos x - sin x)`

Explanation:

Use the Chain Rule

Derivative of the outside

`f'(x)=cosx(sin x+cos x) ...`

Multiplied by the Derivative of the inside

`f'(x)=cosx(sin x+cos x)(cos x - sin x)`