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Math Help - The mean value theorem

  1. #1
    Newbie nigromante's Avatar
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    The mean value theorem

    Hello there, could you help me:

    Problem 27, Apostol, Calculus

    For real t , f(x)=-(1/3)x^3+ t^2(x), where m(t) is the minimum of f(x), in 0<=x<=1, what is m(t) in -1<=t<=1
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  2. #2
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    Re: The mean value theorem

    It's just like the other problems you've been doing, but your calculations have "t" in them. So find the critical points (x=0, x=1, and wherever f'(x) is zero) and see which of them gives the minimum. Your answer might be different for different ranges of t.

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  3. #3
    Newbie nigromante's Avatar
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    Re: The mean value theorem

    thanks, i have to check. . .
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