(a) Determine the intervals of increase and decrease for the function: f() = a3 - 3x2 - 9ac + 12 (do not simply view the graph on a graphing calculator, show your work using Calculus to determine the intervals of increase and decrease) (b) Use the first derivative test determine any local maximums or minimums that occur for the function. For your final answer, give the coordinates of any local maximum and local minimum