Given the function 901:) : 8:123 723:2 + 120m, find the first derivative, 9' (3:) W) = Notice that g'(a:) = 0 when a: = 1, that is, g'(1) = 0 Now, we want to know whether there is a local minimum or local maximum at a: = 1, so we will use the second derivative test. Find the second derivative, 9' '(w). \"i= Evaluate g' (1). 9' '(1) = i Based on the sign of this number, does this mean the graph of 9(a)) is concave up or concave down at a: = 1? [Answer either up or down -- watch your spelling! !] At a: = 1 the graph of 9(3) is concave Based on the concavity of g(a:) at a: = 1, does this mean that there is a local minimum or local maximum at m = 1? [Answer either minimum or maximum -- watch your spelling!!] At a: = 1 there is a local :1