Some Problems in Differentiation

Abstract

We compute the nth derivative of a function given parametrically, and of one given implicitly, and some history for both problems. I am posting this version of the paper at the request of Shaul Zemel, whose forthcoming paper The Combinatorics of Higher Derivatives of Implicit Functions refers to it.

arXiv comment8 pages

References in corpus (1)

• Implicit higher derivatives, and a formula of Comtet and Fiolet

Cited by in corpus (1)

• The Combinatorics of Higher Derivatives of Implicit Functions