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

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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.:cry:

The Attempt at a Solution



I am completely lost. :cry:
 
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Chain rule for partial derivatives. E.g. (df/dx)=(df/du)(du/dx)+(df/dv)(dv/dx)+(df/dw)(dw/dx) (all derivatives partial).
 

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