4 [22 pts] Let f(x) = p - 12x]. a) Show that f'(x) = 4x3(x -9) and f"(x) =12r(x - 6). b) Find the critical points of f (if any). TABLE: c) Find the intervals of increase and intervals of decrease of function f. d) Find the local extrema (if any) of function f. (Any critical points s.t. not local extrema?) TABLE: e) Find the intervals of concavity for the graph of f. f) Find the inflection points (if any) for the graph of f. g) Find the global extrema of f on the interval [-1, 1]