implicit differentiation help

**evant8950** · February 27th 2010, 09:17 PM

Hey everyone:

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

$ \sqrt {xy} = 1 + x^2y $

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

I'm having some difficulty getting passed this.

Any help is appreciated.

Thanks

**ione** · February 27th 2010, 09:46 PM

Originally Posted by evant8950

Hey everyone:

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

$ \sqrt {xy} = 1 + x^2y $

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

I'm having some difficulty getting passed this.

Any help is appreciated.

Thanks

$ \sqrt {xy} = 1 + x^2y $

$ \frac1 2(xy)^{-\frac{1}{2}}(y + x\frac{dy}{dx}) = 2xy + x^2\frac{dy}{dx} $

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