Calculus Light pp 107-146 | Cite as

Differentiable Functions

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


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.


Stationary Point Extremum Point Inflection Point Differentiable Function Main Branch 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Menahem Friedman
    • Abraham Kandel

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