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Problem 1 Find any critical points for g(x) = -2. Determine if they are local maximums or minimums. Problem 2 Let f ( x ) = xe*. a. Find any local max/mins. b. Where is f increasing? c. Where is f decreasing? d. Find any inflection points e. Where is f concave up? f. Where is f concave down? Let g(x) = 2x - 3x - 12x + 1. a. Find the absolute maximum and minimum of this function on the interval [- 2, 1]. b. What is the average rate of change of g(x) over the interval [- 2, 1]. c. Let b be the result in part (b). Find a value c in the interval [- 2, 1] such that g'(c) = b