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Math Help - related rates, chain rule problem

  1. #1
    Red
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    related rates, chain rule problem

    A point is moving along the graph of the given function such that \frac{dx}{dt} is 2 centimeters per second. Find \frac{dy}{dt} for the given values of x.

    y = \frac{3}{2+x^2}


    x= -2

    was wondering about the differentiating, so far i have:

    - \frac{6x(\frac{dx}{dt})}{2+(x^2)^2}

    answer i get seems to be off though, but i'm guessing i messed up somewhere in the process.
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  2. #2
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    Quote Originally Posted by Red View Post
    A point is moving along the graph of the given function such that \frac{dx}{dt} is 2 centimeters per second. Find \frac{dy}{dt} for the given values of x.

    y = \frac{3}{2+x^2}


    x= -2

    was wondering about the differentiating, so far i have:

    - \frac{6x(\frac{dx}{dt})}{\bold{(}2+x^2)^2} <----- typo

    answer i get seems to be off though, but i'm guessing i messed up somewhere in the process.
    ...
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  3. #3
    Red
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    okay, now i got the problem right.

    thanks for pointing that out, i was going by this example problem and it didn't have the denominator in parenthesis because for some reason it doesn't show in the .pdf file. anyway i got the answer to my question though.
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