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Math Help - Find the absolute maximum and absolute minimum values of the function

  1. #1
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    Find the absolute maximum and absolute minimum values of the function

    Find the absolute maximum and absolute minimum values of the function on the interval [-2,9]:

    f(x)= (x^3)/3-6x^2+35x

    f'(x)=x^2-12x+35

    so...

    f'(x)= x(x-12)+35

    so critical numbers are x=12,-35 but the problem is asking for on the interval [-2,9]
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  2. #2
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    Quote Originally Posted by Asuhuman18 View Post
    Find the absolute maximum and absolute minimum values of the function on the interval [-2,9]:

    f(x)= (x^3)/3-6x^2+35x

    f'(x)=x^2-12x+35

    so...

    f'(x)= x(x-12)+35

    so critical numbers are x=12,-35 ... no and no.
    you know better, don't you?

    x^2 - 12x + 35 = 0

    ( x - 5)(x - 7) = 0

    try again.
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  3. #3
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    so many simple mistakes sorry
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