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


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.


Average Velocity Tangent Line Position Function Derivative Function Rectilinear Motion 
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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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