# Leibniz rule

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Revision as of 12:20, 3 July 2011 by Paul Wormer (talk | contributions)

In mathematics, the **Leibniz rule** is a rule for applying the *n*th power of a differential operator to a product function (differentiating *n* times the product function).

Let *f*(*x*) and *g*(*x*) be *n* times differentiable functions of *x*. Then Leibniz's rule states the following

where

is a binomial coefficient.