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Math Help - implicit differentiation help

  1. #1
    Junior Member
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    Jan 2010
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    implicit differentiation help

    Hey everyone:

    I am having some trouble with this problem. I think I am having a problem with the algebra.

    <br />
\sqrt {xy} = 1 + x^2y<br />


    I can get to this point
    <br />
\frac1 2(xy)(y + x\frac{dy}{dx}) = 2xy + x^2\frac{dy}{dx}<br />

    I'm having some difficulty getting passed this.

    Any help is appreciated.

    Thanks
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  2. #2
    Member
    Joined
    Feb 2010
    Posts
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    Quote Originally Posted by evant8950 View Post
    Hey everyone:

    I am having some trouble with this problem. I think I am having a problem with the algebra.

    <br />
\sqrt {xy} = 1 + x^2y<br />


    I can get to this point
    <br />
\frac1 2(xy)(y + x\frac{dy}{dx}) = 2xy + x^2\frac{dy}{dx}<br />

    I'm having some difficulty getting passed this.

    Any help is appreciated.

    Thanks
    <br />
\sqrt {xy} = 1 + x^2y<br />

    <br />
\frac1 2(xy)^{-\frac{1}{2}}(y + x\frac{dy}{dx}) = 2xy + x^2\frac{dy}{dx}<br />
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