Studying auxiliary functions for thermodynamics

[asdf1]

right now, I'm studying auxiliary functions for thermodynamics, and I'm stuck on how to prove relationships for different functions...
for example,
Show that (partial S/ partial V)(p constant)= Cp/T(alpha)V?
how do you think for this type of question?

 

[Galileo]

You really should play with the derivatives. It's just gymnastics. Someone could do it for you and it may look so easy, but you won't learn anything from it.
Have a look at the different differentiating rules ('tricks' in this case), the relation you should end up with and try to see what would be a good path to take.
Why don't you show what you have tried so far.

BTW: Be grateful when you reach the Bridgeman transformation table.