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Lena W.

asked • 05/12/15

Partial derivatives help

I'm having problems finding the following:

say F = -kTN*ln(2*cosh(βμB))

where everything is a constant and β=(1/kT)

I want to find S = -(∂F/∂T) and the answer should be S = kN[ln(2*cosh(βμB)) - βμB*tanh(βμB)] which I don't get

Then using that equation of S I want to find C = T* (∂S/∂T) which I also don't know how to do. There's a hint to use the chain rule applied to β=(1/kT)

Please help if you can! Thank you

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