For a one-component system, determine which function or combination of thermodynamic functions is minimized or maximized at equilibrium at constant...

For a one-component system, determine which function or combination of thermodynamic functions is minimized or maximized at equilibrium at constant (T,V,mu). Repeat for a system at constant (T, P, mu). For the second case, what does Euler integration suggest for the numerical value of the combination of functions that is being minimized or maximized at equilibrium?