Consider the following function. f ( x ) = 2x3 - 15x2+ 36x - 2 Find the derivative. f' ( x ) = Find any critical numbers of the function. (Enter your answer as a comma-separated list. If any answer does not exist, enter DNE) X = Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) Find the local minimum and maximum value of f. local minimum value local maximum value