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arXiv · 2104.07024

Explicit Formula for the n-th Derivative of a Quotient

Roudy El Haddad
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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.

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BibTeXRIS

Roudy El Haddad. 2021-04-13. Explicit Formula for the n-th Derivative of a Quotient. https://doi.org/10.30538/psrp-oma2022.0117

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