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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

Open AccessCopyright: © 2007 A. A. Taani. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

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