TITLE

Chain Rules for Higher Derivatives

AUTHOR(S)
Huang, H.-N.; Marcantognini, S. A. M.; Young, N. J.
PUB. DATE
March 2006
SOURCE
Mathematical Intelligencer;Spring2006, Vol. 28 Issue 2, p61
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The article presents a definition of the concept of higher-order directional derivative of a smooth function. It is then applied to create three simple formulas for the nth derivative of the composition of two functions. These three higher-order chain rules are alternatives to the classical formula of Faa di Bruno. They are less explicit but are much simpler and are not saddled with Diophantine or combinatorial problems.
ACCESSION #
20810319

 

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