Question

Find the derivative of the function y = sin(tan 4x)

Answer 1

$\bf y=sin[tan(4x)]\implies \cfrac{dy}{dx}=\stackrel{chain~rule}{cos[tan(4x)]\cdot sec^2(4x)\cdot 4} \\\\\\ \cfrac{dy}{dx}=4cos[tan(4x)]sec^2(4x)$