Calculus
Intermediate

Product Rule

Derivative of a product of two functions.

Formula

(uv)=uv+uv(uv)' = u'v + uv'

Variables

u,vFunctions

Example

d/dx(x·sin x)=sin x + x cos x

Did You Know?

Leibniz initially got the product rule wrong, mistakenly thinking the derivative of a product was the product of derivatives.