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Functions of a Real Variable

  • Charles C. Pugh
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The function f: \((a,b) \rightarrow \mathbb{R}\) is differentiable at x if
$$\displaystyle{ \lim _{t\rightarrow x}\frac{f(t) - f(x)} {t - x} = L }$$
(1)
exists.

Keywords

Discontinuity Point Piecewise Continuous Function Exponential Growth Rate Baire Class Countable Covering 
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 International Publishing Switzerland 2015

Authors and Affiliations

  • Charles C. Pugh
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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