Functions and Analysis


Higher Order Derivatives of the Inverse Function

Authors: Andrej Liptaj

A general recursive and limit formula for higher order derivatives of the inverse function is presented. The formula is next used in couple of mathematical applications: expansion of the inverse function into Taylor series, solving equations, constructing random numbers with a given distribution from uniformly distributed randomnumbers and expanding a function in the neighborhood of a given point in an alternative way to the Taylor expansion.

Comments: 7 Pages.

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Submission history

[v1] 2017-03-31 06:45:36

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