generalized chain rule (Q2513399)

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No description defined

• multivariate chain rule
• multivariable chain rule

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Language	Label	Description	Also known as
English	generalized chain rule	No description defined	multivariate chain rule multivariable chain rule

Statements

instance of

formula

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defining formula

${\displaystyle {\frac {\mathrm {d} }{\mathrm {d} t}}f(x_{1}(t),x_{2}(t),\dots ,x_{n}(t))=\sum _{i=1}^{n}{\frac {\partial f(x_{1}(t),x_{2}(t),\dots ,x_{n}(t))}{\partial x_{i}(t)}}{\frac {\mathrm {d} x_{i}(t)}{\mathrm {d} t}}}$

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in defining formula

${\displaystyle f}$

symbol represents

multivariate function

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${\displaystyle x_{i}}$

symbol represents

function

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${\displaystyle {\frac {\mathrm {d} }{\mathrm {d} x}}}$

symbol represents

derivative

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${\displaystyle {\frac {\partial }{\partial x}}}$

symbol represents

partial derivative

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${\displaystyle \sum }$

symbol represents

sum

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Digital Library of Mathematical Functions ID

1.5.E7

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Google Knowledge Graph ID

/g/1ydxq09qc

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Sitelinks

Wikipedia(1 entry)

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• dewiki Mehrdimensionale Kettenregel

Wikibooks(0 entries)

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Wikinews(0 entries)

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Wikiquote(0 entries)

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Wikisource(0 entries)

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Wikiversity(0 entries)

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Wikivoyage(0 entries)

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Wiktionary(0 entries)

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Multilingual sites(0 entries)

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