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Math Help - Function

  1. #1
    mms
    mms is offline
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    Jul 2009
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    Function

    let f be continuos in [a,b] and differentiable in (a,b) show that
    <br />
\frac{{af(b) - bf(a)}}<br />
{{b - a}} = x_0 f'(x_0 ) - f(x_0 )<br /> <br />

    for some Xo
    ------------------------------
    i tried by defining g(x)= (a+b-X)f(X)



    then using the mean value theorem on g(x) i try to solve the problem but i get stuck D: plz help me
    Last edited by mms; November 29th 2009 at 12:08 PM.
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