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    akotoh's Avatar
    akotoh Posts: 20, Reputation: 1
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    #1

    Oct 1, 2009, 08:06 AM
    Curve sketching: 2nd derivatives test
    Gud day! :)
    I just want to know what is the correct answer in this problem:

    Equation:
    y = 1/3 x^3 - 1/2 x^2 - 2x
    the point of inflection that I got is (1/2 , -3/4) but according to the book its (1/2, -13/12). How do they get that?

    thanks! :)
    ArcSine's Avatar
    ArcSine Posts: 969, Reputation: 106
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    #2

    Oct 1, 2009, 08:14 AM
    Just evaluate the original equation for x = 1/2.
    radiation's Avatar
    radiation Posts: 21, Reputation: 3
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    #3

    Oct 4, 2009, 03:17 AM

    I think thr is some error in your ans.. for x=1/2, the only value for y is -13/12..
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #4

    Oct 4, 2009, 04:08 AM
    Gud day! :)
    I just want to know what is the correct answer in this problem:

    Equation:

    the point of inflection that i got is (1/2 , -3/4) but according to the book its (1/2, -13/12). How do they get that?

    thanks! :)
    They found the second derivative, set to 0 and solved for x.







    Plug back into original equation:


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