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Geometric interpretation of Generalized MVT

  1. Nov 27, 2007 #1
    1. The problem statement, all variables and given/known data

    I am trying to see the geometric interpretation of the generalized MVT. It is not a homework problem, but would like to know how to interpret the equation
    2. Relevant equations

    [f(b)- f(a)]* g'(x) = [g(b)- g(a)]* f'(x)

    3. The attempt at a solution

    On substituting g(x) = x, we obtain the MVT which is nicely interpreted as a point in (a,b) where the tangent is parallel to the secant between the end points for a continuous differential function.

    But, is there a nice interpretation for the generalized version?
  2. jcsd
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