What partial-derivative relation can you derive from the

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Thermodynamically identity is given by,

                                                          ..... (1)

Here  is the Internal energy of the thermodynamic system, is the temperature of the system,  the entropy of the system, is the Pressure of the system, and is the Volume of the system.

If the entropy of the system remains constant, then we can write:

                                                            …… (2)