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Product rule


 

In mathematics, the product rule of calculus, which is also called Leibniz's law (see derivation), governs the differentiation of products of differentiable functions.

Related Topics:
Mathematics - Calculus - Derivation - Differentiation - Function

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It may be stated thus:

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:(fg)'=f'g+fg' ,

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or in the Leibniz notation thus:

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:{dover dx}(uv)=u{dvover dx}+v{duover dx}.

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~ Table of Content ~

Introduction
Discovery by Leibniz
Examples
Common error
Proof of the product rule
Generalizations
left(sum_{i1}^k rac{ rac{d}{dx} f_i(x)}{f_i(x)} ight)

 

 

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