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Which couchy theorim do i need

  1. Nov 24, 2008 #1
    i got this formula

    [f(b)-f(a)]/[g(b)-g(a) = f'(c)/g'(c)

    i looked up in google

    http://en.wikipedia.org/wiki/Cauchy_theorem

    and i got a list of many couchy theorems

    which one do i need for this formula??
     
  2. jcsd
  3. Nov 24, 2008 #2

    Office_Shredder

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    Cauchy's mean value theorem
     
  4. Nov 24, 2008 #3
    i cant find a good explanation for Cauchy's mean value theorem
    i cant find a video lecture or animation .
     
  5. Nov 24, 2008 #4

    Office_Shredder

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    Did you look at

    http://en.wikipedia.org/wiki/Mean_value_theorem#Cauchy.27s_mean_value_theorem

    It's basically a 2-dimensional version of the standard mean value theorem. In 1 dimension, you have a function f(t), pick two a and b, and somewhere in between them the slope of the graph is the same as the slope connecting the endpoints of the graph. Similarly, given a graph (f(t),g(t)) (so this is a curve parametrized by t) you pick two endpoints, and somewhere on the curve in between the endpoints is a point where the tangent slope is the same as the slope of the line connecting the points. There's even a pretty picture on wikipedia demonstrating this.
     
  6. Nov 25, 2008 #5
    i found it

    i need video explanation or
    flash animation

    ??
     
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