Differentiability of Multivariable Functions

Alberto Guzman
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Alberto Guzman: The City College of New York, CUNY, Department of Mathematics

Chapter 1 in Derivatives and Integrals of Multivariable Functions, 2003, pp 1-32 from Springer

Abstract: Abstract In this chapter we use ideas based on the elementary definition of derivative to define derivatives of a vector function of a Euclidean vector variable. We relate these new derivatives to the elementary ones, and generalize an important result from the real-variable case.

Keywords: Partial Derivative; Vector Function; Jacobian Matrix; Scalar Function; Chain Rule (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0035-2_1

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DOI: 10.1007/978-1-4612-0035-2_1

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