# Mathematical Thermal Physics Problem

1. Jan 24, 2008

### Elzair

1. The problem statement, all variables and given/known data
Suppose there exists a relation among three coordinates x, y and z such that

$$f(x,y,z) = 0$$

Then prove the following relation

2. Relevant equations

$$\left(\frac{\delta x}{\delta y} \right)_{z} = \frac{1}{\left( \frac{\delta y}{\delta x} \right)_{z}}$$

3. The attempt at a solution