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The Chain Rule and the Gradient

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Calculus of Several Variables

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

In this chapter, we prove the chain rule for functions of several variables and give a number of applications. Among them will be several interpretations for the gradient. These form one of the central points of our theory. They show how powerful the tools we have accumulated turn out to be.

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© 1987 Springer Science+Business Media New York

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Lang, S. (1987). The Chain Rule and the Gradient. In: Calculus of Several Variables. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1068-9_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1068-9_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7001-0

  • Online ISBN: 978-1-4612-1068-9

  • eBook Packages: Springer Book Archive

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