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Math Help - Partial derivatives problem

  1. #1
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    Partial derivatives problem

    This was confusing me so any help would be appreciated!

    For each of the following partial derivatives, give a possible F(x,y).

    1) derivative with respect to y = x^2 divided by y
    2) derivative with respect to y = xe raised to the xy
    Last edited by clockingly; March 15th 2007 at 05:24 PM.
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  2. #2
    Junior Member frenzy's Avatar
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    Quote Originally Posted by clockingly View Post
    This was confusing me so any help would be appreciated!

    For each of the following partial derivatives, give a possible F(x,y).

    1) x^2 divided by y
    2) xe raised to the xy
    Is this the entire question?
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  3. #3
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    Quote Originally Posted by frenzy View Post
    Is this the entire question?
    Ahhh sorry. Forgot to include

    1) the derivative with respect to y = x^2 divided by y

    2) the derivative with respect to y = xe^xy

    I'll edit that first post.
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  4. #4
    Junior Member frenzy's Avatar
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    Quote Originally Posted by clockingly View Post
    Ahhh sorry. Forgot to include

    1) the derivative with respect to y = x^2 divided by y

    2) the derivative with respect to y = xe^xy

    if d/dy F(x,y)=x^2/y

    then

    F(x,y) could be x^2*ln(y)

    or x^2*ln(y)+sin(x^234)*e^(x^1/5)

    or

    x^2*ln(y)+g(x)

    where g(x) does not depend on y

    there are others

    Or is there...hmmm.
    Last edited by frenzy; March 15th 2007 at 05:37 PM. Reason: just wanted the last sentence
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