How Does the Reciprocal Nature of Partial Derivatives Apply to Ideal Gases?

[ramsharmjarm]

Homework Statement

Prove that
(∂P/∂V) n,T = 1/(∂V/∂P) n,T

n and T are supposed to mean that theyre just constants

Homework Equations

Ideal Gas

PV=nRT

The Attempt at a Solution

I tried

(∂P/∂V) n,T= ∂nRT/v/∂V = ∂nRT/V ∂V

then I am stuck here

 

[Dick]

Homework Statement

Prove that
(∂P/∂V) n,T = 1/(∂V/∂P) n,T

n and T are supposed to mean that theyre just constants

Homework Equations

Ideal Gas

PV=nRT

The Attempt at a Solution

I tried

(∂P/∂V) n,T= ∂nRT/v/∂V = ∂nRT/V ∂V

then I am stuck here

Why are you stuck? n, R and T are constant. Move them outside the differentiation. Now you've just got ∂(1/V)/∂V. What's that?