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Derivatives of Scalar Functions

In: Derivatives and Integrals of Multivariable Functions

Author

Listed:
  • Alberto Guzman

    (The City College of New York, CUNY, Department of Mathematics)

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).

Suggested Citation

  • Alberto Guzman, 2003. "Derivatives of Scalar Functions," Springer Books, in: Derivatives and Integrals of Multivariable Functions, chapter 2, pages 33-71, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0035-2_2
    DOI: 10.1007/978-1-4612-0035-2_2
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