Calculus
Basic

Sum Rule (Derivative)

The derivative of a sum is the sum of the derivatives.

Formula

(f+g)=f+g(f+g)' = f' + g'

Variables

f, gFunctions

Example

d/dx (x² + x) = 2x + 1.

Did You Know?

Derivatives distribute over addition, so you can differentiate a sum one term at a time.