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Feynman is applying thermodynamics to photons and has chosen
to treat T and V as independent variables and to treat U(T,V) and P(T,V)
as dependent variables.
He takes the partial derivative of U=3PV (comes
from equation 39.17) holding T constant and obtains:
dU/dV (const T) = 3P
I was expecting:
dU/dV (const T) = 3P + 3V dP/dV (const T)