Question

What is the differentiation of e to the power cos2x

Answer 1

e^cos(2x) * cos(2x)' = e^cos(2x)* -sin(2x) * (2x)'
= -2e^cos(2x)sin(2x)

Answer 2

just remember

The derivative of \[e ^{f(x)}\]
is equal to
\[f'(x)e ^{f(x)}\]