I need help with the problem. For 2a, I want to see the steps by using the chain rule. For 2b, I want to see the maxwell's relation.

2. Let A = A(T, V) and G = G(T,p) be thermodynamic state functions with total differentials dA = -SdT - pdV and dG = -SdT + Vdp. where p, V, T, and S are, respectively, pressure, volume, temperature and entropy. a) Use dA and suitable relationships between partial derivatives to show that Cv ds = (2) T dT + *xav where a = av av as aT K= V and Cv = T( aT p ap / T b) Use dG and suitable relationships between partial derivatives to show that ds = "PaT - aVdp (3) T where Cp = T as aT P