11.20 Differentiating composite functions

Find the derivative of $\cos\left(x\right)e^{5x}$cos(x)e5x. You may use the substitutions $u=\cos\left(x\right)$u=cos(x) and $v=e^{5x}$v=e5x. Leave your answer in factorised form.

Differentiate $y=\sin\left(x\right)e^x$y=sin(x)ex. Give your answer in factorised form.

Differentiate $y=e^x\cos\left(3x\right)$y=excos(3x). Leave your answer in factorised form.