General Leibniz rule

In calculus, the general Leibniz rule, named after Gottfried Leibniz, generalizes the product rule (which is also known as "Leibniz's rule"). It states that if u and v are n-times differentiable functions, then product uv is also n-times differentiable and its nth derivative is given by where is the binomial coefficient. This can be proved by using the product rule and mathematical induction.

General Leibniz rule

In calculus, the general Leibniz rule, named after Gottfried Leibniz, generalizes the product rule (which is also known as "Leibniz's rule"). It states that if u and v are n-times differentiable functions, then product uv is also n-times differentiable and its nth derivative is given by where is the binomial coefficient. This can be proved by using the product rule and mathematical induction.