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Math Help - Implicit Differentiation Problem

  1. #1
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    Implicit Differentiation Problem

    Hi,
    I'm looking at review questions for a test tomorrow, and one of them is

    find the derivative for sin(xy)=x2-y;
    if I'm not mistaking, the derivative comes out to cos(xy)*xy'+xy=2x-y' ,
    but i'm not sure how to isolate the y's; it seems like I end up with one on either side no matter what I do; is there something I'm missing?
    Thanks!
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  2. #2
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    Joined
    Sep 2010
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    Quote Originally Posted by geliot View Post
    Hi,
    I'm looking at review questions for a test tomorrow, and one of them is

    find the derivative for sin(xy)=x2-y;
    if I'm not mistaking, the derivative comes out to cos(xy)*xy'+xy=2x-y' ,
    but i'm not sure how to isolate the y's; it seems like I end up with one on either side no matter what I do; is there something I'm missing?
    Thanks!
    Excuse me, I meant for the derivative: cos(xy)*(y+xy') = 2x-y'
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