(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The question is attached as Question.jpg.

2. Relevant equations

Partial differentiation.

3. The attempt at a solution

This seems obvious to me but I don't know how to express myself mathematically. Basically, what I'd do is:

[∂(u,v)/∂(x,y)] [∂(x,y)/∂(r,s)] = [∂(u,v)/∂(r,s)] [∂(x,y)/∂(x,y)] = ∂(u,v)/∂(r,s)

as for ∂(u,v)/∂(x,y) = 1/[∂(u,v)/∂(x,y)], that's especially obvious to me! It's like saying 1/(1/2) = 1 * 2/1 = 2! Whenever I get an “It's obvious” feeling, that usually tells me that I'm not grasping the assumptions that are made when using these mathematical tools.

Any assistance in solving this problem would be greatly appreciated!

Edit: Forgot to attach the question! :P

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Showing that a partial derivative equation holds

**Physics Forums | Science Articles, Homework Help, Discussion**