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Differentiability of Multivariable Functions

In: Derivatives and Integrals of Multivariable Functions

Author

Listed:
  • Alberto Guzman

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

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.

Suggested Citation

  • Alberto Guzman, 2003. "Differentiability of Multivariable Functions," Springer Books, in: Derivatives and Integrals of Multivariable Functions, chapter 1, pages 1-32, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0035-2_1
    DOI: 10.1007/978-1-4612-0035-2_1
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