Question

Derivada dessa função -> y= sin (cos(4x))

Answer 1

$u=4x \\ v=cos(u) \\ y=sen(v)\\ \\ \frac{dy}{dx}=\frac{dy}{dv}.\frac{dv}{du}.\frac{du}{dx}=cos(v).(-sen(u).4\\ \\ \boxed{\frac{dy}{dx}=-4.sen(4x).cos(cos(4x))}$