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Differentiation

  • Adi Ben-Israel
  • Robert Gilbert
Part of the Texts and Monographs in Symbolic Computation book series (TEXTSMONOGR)

Abstract

Two functions f and g are tangent at a point x0 if their graphs almost coincide, near x0, in the sense of Definition 4.1 below. A function f can have, at a given point x0, at most one tangent which is a linear function, say l (x) = f (x0) + m(xx0) , in which case
  • l is called the tangent line, or simply the tangent, of f at x0,

  • the slope m of l is called the slope, or derivative, of f at x0.

Keywords

Average Velocity Tangent Line Position Function Derivative Function Rectilinear Motion 
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 Wien 2002

Authors and Affiliations

  • Adi Ben-Israel
    • 1
  • Robert Gilbert
    • 2
  1. 1.Rutgers Center for Operations Research and Department of MathematicsRutgers UniversityNew BrunswickUSA
  2. 2.Department of Mathematical Science and Computer and Informational SciencesUniversity of DelawareNewarkUSA

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