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- W4308756685 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 Patashnik's claim that there's no corresponding chain rule of finite calculus)." @default.
- W4308756685 created "2022-11-15" @default.
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- W4308756685 date "2022-11-08" @default.
- W4308756685 modified "2023-09-27" @default.
- W4308756685 title "Formal differential variables and an abstract chain rule" @default.
- W4308756685 doi "https://doi.org/10.48550/arxiv.2211.04578" @default.
- W4308756685 hasPublicationYear "2022" @default.
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