Partial Derivatives: Show ∂f/∂x+∂f/∂y+∂f/∂z=0

[mit_hacker]

Homework Statement

If f(u, v, w) is differentiable and u=x-y, v=y-z, and w=z-x, show that

∂f/∂x+∂f/∂y+∂f/∂z=0

Homework Equations

I am completely lost.

The Attempt at a Solution

I am completely lost.

 

[Dick]

Chain rule for partial derivatives. E.g. (df/dx)=(df/du)(du/dx)+(df/dv)(dv/dx)+(df/dw)(dw/dx) (all derivatives partial).