Derivatives of Scalar Functions

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

Chapter 2 in Derivatives and Integrals of Multivariable Functions, 2003, pp 33-71 from Springer

Abstract: Abstract We have seen that derivatives of vector functions can be taken component by component. Consequently, much of our investigation of such derivatives reduces to the study of derivatives of real-valued functions. In this chapter we study some derivative properties for which reduction to the scalar case has an interesting variety of advantages: from being helpful (directional derivatives) to sensible (the mean value theorem) to necessary (maxima/minima).

Keywords: Saddle Point; Break Line; Scalar Function; Differentiable Function; Tangent Plane (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_2

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DOI: 10.1007/978-1-4612-0035-2_2

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