# Leibniz rule

From Knowino

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.