The Maxwell's relation (left(frac{partial T}{partial V} ight)_{S}=-left(frac{partial P}{partial S} ight)_{V}) is derived from the fundamental thermodynamic relation

The Maxwell's relation \(\left(\frac{\partial T}{\partial V}\right)_{S}=-\left(\frac{\partial P}{\partial S}\right)_{V}\) is derived from the fundamental thermodynamic relation

(a) \(d H=T d S+V d P\)

(b) \(d A=-P d V-S d T\)

(c) \(d G=V d P-S d T\)

(d) \(d U=V d S-P d V\).