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Math Help - How to get a slope?

  1. #1
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    How to get a slope?

    Hi all:

    I have a stupid question: can I get dy/dx from f(x,y)=c without solving it (c is a constant). Can I take partial derivative with respective x for both sides to get dy/dx?
    More specific, my equation is 1/xy+1/(1-y)=c. Or is there a better way to get dy/dx at two solutions?

    Thanks!

    Simon
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  2. #2
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    Quote Originally Posted by simonwei View Post
    Hi all:

    I have a stupid question: can I get dy/dx from f(x,y)=c without solving it (c is a constant). Can I take partial derivative with respective x for both sides to get dy/dx?
    More specific, my equation is 1/xy+1/(1-y)=c. Or is there a better way to get dy/dx at two solutions?

    Thanks!

    Simon
    I don't really understand your question but this may be what you are looking for.

    \frac{dy}{dx}=-\frac{\frac{\partial f}{\partial x}}{\frac{\partial f}{\partial y}}
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