Calculus
Basic

Constant Multiple Rule

Constants factor out of a derivative.

Formula

ddx(c f)=c f′\frac{d}{dx}(c\,f) = c\,f'

Variables

cConstant
fFunction

Example

d/dx (5x³) = 5·3x² = 15x².

Did You Know?

A constant factor just rides along through differentiation, unchanged.

derivativebasic