Given the function 9(3) 2 633 + 932 1083, find the first derivative, 9' (3) Notice that g'(3) = 0 when 3 = 3, that is, g'(3) = 0. Now, we want to know whether there is a local minimum or local maximum at 3 = 3, so we will use the second derivative test. Find the second derivative, 9"(3). 9%) = Evaluate g\"( 3). 33) = Based on the sign of this number, does this mean the graph of 9(3) is concave up or concave down at 3 = 3 7 .[Answer either up or down -- watch your spelling! I] At 3 = 3 the graph of 9(3) is concave Based on the concavity of 9(3) at 3 = 3, does this mean that there is a local minimum or local maximum at 3 = 3? [Answer either minimum or maximum -- watch your spellingll] At 3 = 3 there is a local