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Math Help - Implicit Differentiation

  1. #1
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    Implicit Differentiation

    e^(xy) = x - y
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  2. #2
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    With respect to which variable? :3

    For x its (y + x\dot{y})e^{xy} = 1 - \dot{y}.
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  3. #3
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    Looking for Dy/dx, the book lists the answer as: (y(y-e^(xy))/(y^2-xe^(xy))

    Typo lol meant for the
    "9" to be a ( D:
    Last edited by Neversh; April 28th 2010 at 04:12 PM.
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  4. #4
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    Does it? I must disagree. Where would the 9 comes from anyway?

    edit: okay, there's still a typo because your parentheses aren't balanced. But the solution should be \dot{y} = {1-ye^{xy}\over 1+xe^{xy}}.
    Last edited by maddas; April 28th 2010 at 04:20 PM.
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  5. #5
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    Quote Originally Posted by maddas View Post
    Does it? I must disagree. Where would the 9 comes from anyway?

    Was a typo :P
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