Question: Consider the following function. f (x) = 2x3 - 15x2+ 36x - 2 Find the derivative. f'(x) = 6x- 30x+ 36 Find any critical numbers

Consider the following function. f (x) = 2x3 - 15x2+ 36x - 2 Find the derivative. f'(x) = 6x- 30x+ 36 Find any critical numbers of the function. (Enter your answer as a comma-separated list. If any answer does not exist, enter DNE) X = 2, 3 Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) (-00, 2) U (3,00 ) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (2,3) Find the local minimum and maximum value of f. local minimum value 25 local maximum value 26

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