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(x – x0) , 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.
KeywordsAverage Velocity Tangent Line Position Function Derivative Function Rectilinear Motion
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© Springer-Verlag Wien 2002