Question

How do you differentiate `f(x)=ln(sin(e^{x}))`?

Answer 1

You can use the Chain Rule where you first derive `ln` as it is then multiply by the derivative of `sin` as it is and finally multiply by the derivative of `e`:
`f'(x)=1/(sin(e^x)]*cos(e^x)*e^x=e^x*cot(e^x)`