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Math Help - Functions

  1. #1
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    Functions

    Maximum and minimum value of the function f(x)=1/2x^3-x^2
    on the interval: -1 ≤x ≤1
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  2. #2
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    What function are you talking about?

    f(x)=\frac{1}{2x^3-x^2} or f(x)=\frac{1}{2x^3}-x^2
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  3. #3
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    I am talking about the function

    0.5 of x^3 - x^2
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  4. #4
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    Quote Originally Posted by dvmasaka View Post
    I am talking about the function

    0.5 of x^3 - x^2
    This really didn't help.

     0.5\times (x^3 - x^2) or   (x^3 - x^2)^{0.5} or  \frac{1}{2 (x^3 - x^2)} or ....
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  5. #5
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    I am going to assume you mean (1/2)x^3- x^2 just because it is simplest. Your notation is still ambiguous.

    Now, what have you learned about this? Do you know this theorem: "A function takes on it maximum and minimum values on an interval in one these places:
    1) at the endpoints of the interval
    2) where the derivative does not exist
    3) where the derivative is 0.

    If I have the right function, it is a polynomial and its derivative always exists. Can you find the derivative?
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