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Math Help - max

  1. #1
    Junior Member
    Joined
    Oct 2007
    Posts
    56

    max

    II'm not getting the first part right. If someone can show me, that'd be great. I don't understand the second part at all.

    Consider the function below.
    (a) Find the maximum value.


    (b) Find the value of x at which f increases most rapidly.
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  2. #2
    Newbie
    Joined
    Oct 2007
    From
    Texas
    Posts
    14
    To find the max of a function you need to find all the critical points (points where the derivative is equal to zero or undefined). You then evaluate these points with the second derivative test( f'' < 0 then the point is a max). For the second part you need to maximise the derivative.
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