Document Type

Conference Proceeding

Publication Date

6-2-2022

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, then we discuss how to make it rigorous (a discussion which touches on formal foundations of calculus)

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