# Homework Help: Expressed all partial derivatives

1. Apr 24, 2005

### Yegor

I'm given F(x*y;z/x), where z=z(x,y).
I have to proof that (∂z/∂x)*x+(∂z/∂y)*y=3*z
I have expressed all partial derivatives, but I got only (∂z/∂x)*x-(∂z/∂y)*y=z
I think that it's impossible at all to solve this problem, because z is arbitrary function as i understand.
Help me please. Where I'm wrong?

2. Apr 24, 2005