# Implicit Differentiation

1. Jan 10, 2010

### suchgreatheig

1. The problem statement, all variables and given/known data

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.

Last edited: Jan 10, 2010
2. Jan 10, 2010

### rock.freak667

You will need to post your attempt.

3. Jan 11, 2010

### zcd

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

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