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Differentiation is the set of techniques and results from Differential Calculus, concerning the calculation of derivatives of functions or distributions.
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How does one calculate partial derivatives with two constant variables in statistical mechanics
I came across this relation which I have yet to be able to prove or find proof of:
$$kT^2\left(\frac{\partial \ln\mathscr{Z}}{\partial T}\right)_{V,\mu}=\langle H\rangle-\mu\langle N\rangle$$
I was ab …