implicit differentiation help

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Feb 27th 2010, 09:17 PM
evant8950

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
Feb 27th 2010, 09:46 PM
ione

Quote:

Originally Posted by evant8950

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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