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Chapter 7: Some Special Functions

Chapter 7: Some Special Functions

pp. 61-72

Authors

, London School of Economics and Political Science, , London School of Economics and Political Science
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Extract

Important special functions and their properties are described. In particular, the exponential function and its connection to continuous compounding is discussed, together with the logarithm and trigonometrical functions. It is explained how one can interpret not just integer, but rational and then irrational powers of positive real numbers. The derivatives of exponential, logarithmic and trigonometrical functions are studied.

Keywords

  • integer powers
  • rational powers
  • exponentials
  • exponential function
  • continuous compounding
  • logarithms
  • logarithm function
  • irrational powers
  • trigonometrical functions
  • differentiation of exponential
  • logarithm and trigonometrical functions

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