Show work so I can understand.

Given f'(x) = 4x3 - 12x2 complete parts a-c. a) Find the intervals on which f is increasing or decreasing. b) Find the x-values (if any) at which f has local maximum or minimum values. If none, write none. c) Find the intervals of concavity and the x-values of the inflection points (if any). Answers: a) f increasing: f decreasing: b) local maximum of f at: local minimum of f at: c) f concave up: f concave down: point of inflection on f at