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The Derivative

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Abstract

The derivative is one of the two fundamental concepts introduced in calculus. The other one is, of course, the (Riemann) integral. For a real-valued function of a real variable, the derivative may be interpreted as an extension of the notion of slope defined for (nonvertical) straight lines. Recall that a (nonvertical) straight line is the graph of an affine function xax + b, where a,  b are real constants and a is the slope of the line.

Keywords

Intermediate Value Property Newton-Raphson Process Arithmetic-harmonic Mean Inequality Characterizing Convex Functions Inequality Means 
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.

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.MathematicsTowson UniversityTowsonUSA

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