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Calculus Light pp 107-146 | Cite as

Differentiable Functions

  • Menahem Friedman
  • Abraham Kandel
Chapter
Part of the Intelligent Systems Reference Library book series (ISRL, volume 9)

Abstract

In the previous chapter we investigated a special class of functions, C, the continuous functions. In this chapter we investigate a small subset of C, called differentiable functions or functions that possess derivatives. The concept of derivative, introduced by Newton and Leibniz, marked the beginning of modern calculus. Once familiar with the limit notation of Chapter 3, we are ready to define the concept of the derivative of a given function.

Keywords

Stationary Point Extremum Point Inflection Point Differentiable Function Main Branch 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Menahem Friedman
    • Abraham Kandel

      There are no affiliations available

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