Derive the following expression: [ left(frac{partial C_{P}}{partial P} ight)_{T}=-Tleft(frac{partial^{2} V}{partial T^{2}} ight)_{P} ]

Question:

Derive the following expression:

\[ \left(\frac{\partial C_{P}}{\partial P}\right)_{T}=-T\left(\frac{\partial^{2} V}{\partial T^{2}}\right)_{P} \]

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