[kpsbakshi]

Can anyone help me out to with proving that this thermodynamics equation:
Show that 

If someone could tell me how to get started (i.e. what equation to start with), I would appreciate it a lot.

[Gurikoff]

Hi, the easiest way to prove this is using the Maxwell's relations. See attachment.
And remember, that "Mathematics are well and good but nature keeps dragging us around by the nose" (A. Einstein).