How do I use implicit differentiation to find dy/dx in this given equation?

[suchgreatheig]

Homework Statement

Use implicit differentiation to find dy/dx if y - sin(xy) = x^2.

What I've got is dy/dx y - cos(xy)(y+x dy/dx) = 2x

I don't know what I did and I don't know where to go from here.

 

[rock.freak667]

Homework Statement

Use implicit differentiation to find dy/dx if y - sin(xy) = x^2.

You will need to post your attempt.

 

[zcd]

slight mistake: $$\frac{d}{dx}(y)\ne\frac{dy}{dx}y$$

after differentiating, group like terms and factor out the y'