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Math Help - need help on inflection and critical points!

  1. #1
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    need help on inflection and critical points!

    i was wondering if anyone could look at these problems, they're all due Monday night and I can't seem to find close enough relations to the problems in my book to get any answers. Any help would be really appreciated.

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  2. #2
    Member Mentia's Avatar
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    Dec 2008
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    Bellingham, WA
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    I think in general,

    points of inflection occur where there is a concavity change, which means the 2nd derivative passes through zero.

    critical points occur where the first derivative is zero or infinity/undefined

    So for instance, on #1, take two derivatives with respect to x and then set it equal to zero and use the quadratic formula to solve for x.

    For two variables, to find critical points you take an x derivative of the original function, and then a y derivative of the original function, and set both those derivatives to zero and solve for x and y (you have 2 equations with 2 unknowns).
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