Hey everyone:

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

$\displaystyle

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

$

I can get to this point

$\displaystyle

\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