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Math Help - calculus equation question..

  1. #1
    MHF Contributor
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    Nov 2008
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    1,401

    calculus equation question..

    the question:

    there is a function f(x) which is continues in the borders [a,b]
    and derivitable in the borders (a,b), b>a>0
    alpha differs 0
    prove the there is b>c>a

    in that formula:
    http://img392.imageshack.us/my.php?i...1208753je3.gif

    my trial:

    http://img149.imageshack.us/img149/4647/img9136sg3.gif

    i dont know what the purpose of this question
    what doi need to do next??
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  2. #2
    Newbie
    Joined
    Jul 2008
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    I think this is a problem on the mean value theorem? In which case, I think you have to show that there is a point a<c<b where the tangent to the curve is parallel to the line drawn between (a,f(a)) and (b,f(b)).
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