Calculus
Intermediate

Quotient Rule

Derivative of a quotient of two functions.

Formula

(fg)′=f′g−fg′g2\left(\frac{f}{g}\right)' = \frac{f'g - fg'}{g^2}

Variables

f, gFunctions

Example

d/dx (x/(x+1)) = ((x+1) − x)/(x+1)² = 1/(x+1)².

Did You Know?

Students memorize the quotient rule with "low d-high minus high d-low, over low squared".

derivativequotient rule