The question is attached along with its solution. This question involves partial differentiation and the implicit function theorem. My work is also attached. I feel that my work is correct but is it incomplete?I have the following questions/confusions.:1) What's the purpose of the solution showing that T=T(P,V) and then F( P,V,T(P,V) )? Couldn't I just as easily have said V=V(P,T) or P=P(V,T) and modified F accordingly?2) Prior to making this forum thread, I was completely confused as to what the 0 = stuff meant before the implication arrow however, I know see that it is the implicit function theorem written in one line. Is this important? Why is it being done in the solution?Any input would be appreciated!Thanks in advance!