Given the function 9(3) 2 42:3 182:2 l 2423, find the first derivative, 92:56} g'lwl =| I Notice that g'(:c) = 0 when :1: = 2, that is, g'(2) = 0. Now, we want to know whether there is a local minimum or local maximum at cc 2 2, so we will use the second derivative test. Find the second derivative, g"[;c). 913:) =| | Evaluate 9"(2). 911(2) 2 Based on the sign of this number, does this mean the graph of 9(3) is concave up; or concave down at m = 2? [Answer either up or down -- watch your spellingll] At m = 2 the graph of x] is concave Based on the concavity of g[;c) at a? = 2, does this mean that there is a local minimum or local maximum at m = 2? [Answer either minimum or maximum -- watch your spelling!!] At m = 2 there is a Local