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Math Help - Antiderivatives with graphs

  1. #1
    Junior Member
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    Antiderivatives with graphs

    Using the graph of g' shown below and the fact that g(0) = 100, sketch a graph of g(x). Find the coordinates of all the critical points and inflection points of g.

    (a) The critical points of g occur at what points?

    (b) The inflection points of g occur at what points?





    The two critical points are x=15 and x=40 and the two inflection points are x=10 and x=20. I really am at a loss of what I can do in this problem, but it seems this should be pretty easy.
    Attached Thumbnails Attached Thumbnails Antiderivatives with graphs-zzz123.gif  
    Last edited by Latszer; November 30th 2009 at 07:32 PM.
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  2. #2
    MHF Contributor
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    Use the areas under/over the graph. E.g. how does this first, red one (easy enough to calculate) help you find g(10)?

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