5. For each of the following functions, find the total differential {i.e. -- df] at the Indicated point: a. f(x) = 4x3; .750 = 2 b. f(x) = (2x + 10?\"; x0 = 3 c. f(x,z) = -5x2 + 12x2 - 22'; x0 = 2, 20 = 4- d. f(x,z) = 10,111322'3; x0 = B, 2,;1| = 8 e. f(x,z) = (5::2 7z)(2x + 423); x0 = 2, 20 = 1 6. Consider the function: y = f(x) = x3 + 2x 3 a. Find the total differential ofy, when x = 2. b. Use the differential from (a) to approximate f(2.5]. c. What is the actual value of f(2.5]