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Math Help - Max and min value of a function over an interval

  1. #1
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    Max and min value of a function over an interval

    Need some help with the following problem:

    Find the maximum and minimum values of the function on the given interval.

    Y=3-x/x^2+9x.....Interval [3,10]


    Thank You
    Last edited by mr fantastic; April 13th 2010 at 07:27 PM. Reason: Changed post title
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  2. #2
    Super Member Deadstar's Avatar
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    Quote Originally Posted by elexis10 View Post
    Need some help with the following problem:

    Find the maximum and minimum values of the function on the given interval.

    Y=3-x/x^2+9x.....Interval [3,10]


    Thank You
    Simplify your formula to...

    y = 3 - \frac{1}{x + 9}.

    Find the derivative.

    Set this equal to 0. Solve and only keep values that are contained in [3,10].

    But that's not all.

    At the endpoints of the interval, you need to figure out if they are 'maximums' or 'minimums' and by that I don't mean they are stationary points.

    See the function of x^3 I have attached. At the endpoints (which are indicated by the vertical black lines) we have a 'maximum' at the right hand one (near x=5) and a 'minimum' at the left hand one (near x=-5).

    These are only maxs and mins on the interval.
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  3. #3
    Super Member Deadstar's Avatar
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    Attached Thumbnails Attached Thumbnails Max and min value of a function over an interval-untitled.jpg  
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  4. #4
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    thank you for your help, i worked through it and figured it out once again thank you
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