# How do you find the derivative of the function y=sin(tan(4x))?

I would use the Chain Rule deriving first the $\sin$ as it is then multiply by the derivative of $\tan$ as it is and finally multiply by the derivative of $4 x$, giving:
$y ' = \cos \left(\tan \left(4 x\right)\right) \cdot \frac{1}{\cos} ^ 2 \left(4 x\right) \cdot 4 =$