So I have a proof and I can't follow the process, I think its because I haven't learned how to do partial derivatives or I've forgotten, anyways can someone tell me if this is a rule in calculus(adsbygoogle = window.adsbygoogle || []).push({});

(∂C_{v}/∂V)_{T}=0

I've gotten to

[(∂/∂V)(∂U/∂T)_{V}]_{T}

and the proof I have goes to

[(∂/∂T)(∂U/∂V)_{T}]_{V}

-is this a rule? they were able to switch the denominators of the derivatives which is can see but then they switched the constants aswell If so what is the name so I can read up on it, I can't seem to find it with google

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# Partial derivative in thermodynamics

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