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Chain rules for higher derivatives. (English)
Math. Intell. 28, No. 2, 61-69 (2006).
From the introduction: We define a notion of higher-order directional derivative of a smooth function and use it to establish three simple formulae for the n-th derivative of the composition of two functions. These three "higher order chain rules" are alternatives to the classical Fa di Bruno formula. They are less explicit than Fa di Bruno’s formula but are much simpler and avoid Diophantine or combinatorial complications.
Classification: I45
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