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Calculation of Derivatives

  • Kennan T. Smith
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

The statement g(x) = 1 has been discussed in two cases. In the first, the definition of the derivative, g is the quotient
$$ g\left( x \right) = \frac{{f\left( x \right) - f\left( a \right)}}{{x - a}} $$
where f is a function defined on some interval and a is an interior point of the interval (i.e., not an end point). In this case g is defined at every point suffi¬ciently close to a, except for a itself.

Keywords

Unit Circle Interior Point Rational Number Chain Rule Trigonometric Function 
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 Science+Business Media New York 1983

Authors and Affiliations

  • Kennan T. Smith
    • 1
  1. 1.Mathematics DepartmentOregon State UniversityCorvallisUSA

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