Research Article Open Access

A Recurrence Formula for Computing the Derivative of Composition of Functions

A. A. Taani

Abstract

A new recursion formula for computing the n-th derivative of the composition of two functions has been introduced in this contribution. The importance of this new formula is associated with its counterpart; Leibniz rule for finding the n-th derivative of the product of two functions. Furthermore the process of computing this formula has been presented in algorithmic format herein.

American Journal of Applied Sciences
Volume 4 No. 10, 2007, 792-794

DOI: https://doi.org/10.3844/ajassp.2007.792.794

Submitted On: 14 April 2007 Published On: 31 October 2007

How to Cite: Taani, A. A. (2007). A Recurrence Formula for Computing the Derivative of Composition of Functions. American Journal of Applied Sciences, 4(10), 792-794. https://doi.org/10.3844/ajassp.2007.792.794

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Keywords

  • Leibniz rule
  • differentiation formula
  • composite functions
  • mathematical methods