Calculus
Intermediate

Quotient Rule

Derivative of a quotient of two functions.

Formula

(uv)′=u′v−uv′v2\left(\frac{u}{v}\right)' = \frac{u'v - uv'}{v^2}

Variables

u,vFunctions

Example

Differentiates fractions of functions

Did You Know?

The quotient rule can always be avoided by rewriting a fraction as a product with a negative exponent.

derivative