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Thread: Use implicit differentiation to find dy/dx. Can I get my answer checked please?

  1. August 5th 2009, 10:49 AM #1
    Darkhrse99
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    Use implicit differentiation to find dy/dx. Can I get my answer checked please?

    Assume that the equation defiines y as a function of x. Use implicit diff. to find dy/dx.

    2xy-y^2=1
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  2. August 5th 2009, 10:51 AM #2
    Darkhrse99
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    I'm getting \frac{y}{y-x} Is this correct?


    Thanks
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  3. August 5th 2009, 11:10 AM #3
    janvdl
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    Quote Originally Posted by Darkhrse99 View Post
    Assume that the equation defiines y as a function of x. Use implicit diff. to find dy/dx.

    2xy-y^2=1
    2y + 2xy' - 2yy' = 0

    y'(2x - 2y) = -2y

    y' = \frac{-y}{x - y}
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