2022
DOI: 10.48550/arxiv.2211.04578
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Formal differential variables and an abstract chain rule

Abstract: One shortcoming of the chain rule is that it does not iterate: it gives the derivative of f (g(x)), but not (directly) the second or higher-order derivatives. We present iterated differentials and a version of the multivariable chain rule which iterates to any desired level of derivative. We first present this material informally, and later discuss how to make it rigorous (a discussion which touches on formal foundations of calculus). We also suggest a finite calculus chain rule (contrary to Graham, Knuth and … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 4 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?