Combinatorial arguments in computing higher derivatives of inverses

This thesis is based on the article Combinatorics of Higher Derivatives of Inverses, written by Warren P. Johnson which was published on the March 2002 issue of American Mathematical Monthly. There are a lot of ways or formulas on how to compute higher derivatives of inverses (e.g. Lagrange inversio...

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Bibliographic Details
Main Authors: Del Mundo, Shangrila Danielle B., Caimol, Michelle Zyrile C.
Format: text
Language:English
Published: Animo Repository 2005
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Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/17487
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Institution: De La Salle University
Language: English
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Summary:This thesis is based on the article Combinatorics of Higher Derivatives of Inverses, written by Warren P. Johnson which was published on the March 2002 issue of American Mathematical Monthly. There are a lot of ways or formulas on how to compute higher derivatives of inverses (e.g. Lagrange inversion formula, etc.). This study presents the problem of finding higher derivatives of inverses using some basic concepts of Combinatorics.