# Define z as a function of x and y

## Homework Statement

The equations x=uv, y=u+v and z=u^2-v^2 define z as a function of x and y. Find $$\frac{\partial u}{\partial x}$$

Chain rule

## The Attempt at a Solution

Once I get z as a function of x and y the solution seems pretty straight forward, but how exactly is that done. Would it be along the lines of z(x(u,v),y(u,v))? That doesn't seem right though. Thanks for any help in advance.

vela
Staff Emeritus
Did you mean to say you're trying to find $\partial u/\partial x$ and not $\partial z/\partial x$?