a. Write the total differential of the function: 𝑧(a,b) = 6𝑎4𝑏7 + 2a3b
b. Identify the coefficients of the two differentials in this expression as partial derivatives (see section 2.3 of DeHoff)
c. Compute the Maxwell relationships between the second derivatives of z with respect to a and b
d. What does the result in (c) indicate about function z's path dependence? is z(a,b) a state or a process function?