MathLiveProduct rule
Gives the derivative of the product of two differentiable functions as the first derivative times the second function plus the first function times the second derivative. It is used whenever two functions are multiplied together and the derivative of the combined expression is needed.
\frac{d}{dx}\left(f(x)\,g(x)\right)=f'(x)\,g(x)+f(x)\,g'(x)What the symbols mean
| first differentiable function of x | |
| second differentiable function of x | |
| derivative of f with respect to x | |
| derivative of g with respect to x | |
| independent variable |
About this formula
- FieldMathematics
- TopicDifferential calculus
- LevelHigh school
- Also calledderivative of a product, Leibniz rule, product law, Leibniz law, differentiation of a product, product rule for derivatives
- SourceWikidata Q466720
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