Calculation of Derivatives

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


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.


Unit Circle Interior Point Rational Number Chain Rule Trigonometric Function 
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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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