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Consider the following. (If an answer does not exist, enter DNE.) f(x) = 2x3 3x2 72X (a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.) (b) Find the interval(s) on which 1' is decreasing. (Enter your answer using interval notation.) (c) Find the local minimum and maximum value of f. local minimum value local maximum value |:| Consider the following. (If an answer does not exist, enter DNE.) f (x ) = X2 - 63 X - 8 (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) (b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (c) Find the local minimum and maximum value of f. local minimum value local maximum valueConsider the following. (If an answer does not exist, enter DNE.) f(x) = x3 - 3x2 - 6x + 3 Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.) Find the inflection point of f. ( x, y ) =Find the local maximum and local minimum values of fusing both the First and Second Derivative Tests. f ( x ) x2 X - 7 local maximum value local minimum value