A closed formula for the derivatives of \ds e^f(x)

2005/07/21 by Konstantinos Drakakis, Drakakis, Konstantinos
Mathematics · #Advanced Differential Equations and Dynamical Systems #Combinatorics (math.CO) #FOS: Mathematics #Functional Equations Stability Results #math.CO

paper · pdf · doi:10.48550/arxiv.math/0507439

It actually appears that this formula is a special case of Faa di Bruno's formula, and therefore this is not a new result. The author would like to thank those who pointed this out to him

openalex publication_date 2005/07/21 · arxiv created 2005/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a closed formula for the derivative of arbitrary order of the function \ds g(x)=exp(f(x)).

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