5.9 A property of Legendre transformations is that the order of variables of a function influences the variables and form of the transform. For example, starting from the Helmholtz energy A(T,V,N), we obtain the energy U when transforming once. A different thermodynamic function, which we will denote by E, is obtained from a single Legendre transformation of the Helmholtz energy with / as the first variable, A (N,T, V). Obtain the differ- ential form, Euler-integrated form, first derivatives and a Maxwell's rela- tionship for this new function E. Can you think of a way to measure exper- imentally any of the second derivatives of E