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
Write it in Obsidian
MathLive is a free visual math editor for Obsidian. Run Find a formula, type “sum rule in differentiation”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.