Sum rule in differentiation

The derivative of a sum of two differentiable functions equals the sum of their derivatives. It is used to differentiate expressions built from several terms term by term.

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

What the symbols mean

a differentiable function of x
a differentiable function of x
the independent variable
derivative of f with respect to x
derivative of g with respect to x

About this formula

  • FieldMathematics
  • TopicDifferential calculus
  • LevelHigh school
  • Also calledderivative of a sum, sum rule derivative, linearity of differentiation, differentiation of sum of functions, sum rule calculus, derivative of f plus g
  • SourceWikidata Q2141200

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