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Differentiation

  • Mangatiana A. Robdera

Abstract

Let y = f (x) be a real function defined in a certain interval (a, b). Suppose that the value of the argument changes from x to x + h in the interval. Then the value of the function will change from f (x) to f (x + h). Thus a change Δx = (x + h) - x of the argument brings about a change
$$\Delta f(x) = f(x + h) - f(x) $$
of the value of the function. See Figure 5.1. Using such notation, we can rewrite the definition of a continuous function as follows.

Keywords

Mathematical Analysis Real Function Open Interval Difference Quotient Concise Approach 
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 London 2003

Authors and Affiliations

  • Mangatiana A. Robdera
    • 1
  1. 1.School of Science and EngineeringAl Akhawayn UniversityIfraneMorocco

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