Solving for Partials

1. Jun 2, 2007

Zeth

"Solving for Partials"

This is for my revision and I have the answer sheet:

I'm meant to find ∂u/∂x for x = u + v + w, y = u^2 + v^2 + w^2, z = u^3 + v^3 + w^3

That as far as I can tell, by a miracle, is meant to equal:

∂u/∂x=(vw)/((v − u)(w − u))

All the question says apart from find this is "Solving for Partials".

I can't find anything that looks like this in my notes and google comes up empty. What's going on here?

2. Jun 2, 2007

Hurkyl

Staff Emeritus
Well, if you want to solve for the partial derivative of u with respect to x, it seems that you ought to partially differentiate each equation with respect to x. What kind of equations do you get when you do that?

Last edited: Jun 2, 2007
3. Jun 3, 2007

ice109

key word : implicit differentiation