Question 1 [15 marks] (a) Let f(x) = e²² In(x - 1). Find f'(2). (3 marks) (b) Suppose that 2y³ - xy + 10x = -28. Find an explicit equation for y' and then evaluate y at (x, y) = (2, -3). (6 marks) (c) Consider the function g(x) = x² In(x)-2x. The second-order Taylor polynomial about x = 1 is given by g(x) A+B(x-1) + C(x - 1)² for constants A, B, and C. Find the values of A, B, and C. (6 marks)