Which couchy theorim do i need

[transgalactic]

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??

 

[Office_Shredder]

Cauchy's mean value theorem

 

[transgalactic]

i can't find a good explanation for Cauchy's mean value theorem
i can't find a video lecture or animation .

 

[Office_Shredder]

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.

 

[transgalactic]

i found it

i need video explanation or
flash animation

??