Explicit Formula for the n-th Derivative of a Quotient

Abstract

Leibniz's rule for the $n$-th derivative of a product is a very well known and extremely useful formula. In this article, we introduce an analogous explicit formula for the $n$-th derivative of a quotient of two functions. Later, we use this formula to derive new partition identities and to develop expressions for some special $n$-th derivatives.

11 pages

References in corpus (1)

• A formula for the $n^{th}$ derivative of the quotient of two functions