Chain rule

${\frac {d}{dx}}\sin x=?\,$

This article/section deals with mathematical concepts appropriate for late high school or early college.

The chain rule in calculus is a formula for determining the derivative of a composite function:

$f(g(x))'=f'(g(x))\times g'(x)$

The chain rule can also be expressed as:

${\frac {dy}{dx}}={\frac {dy}{du}}\times {\frac {du}{dx}}.$