I need help answering this long question...

Given the function 9(a) = 8m3 2432 3601:, find the first derivative, 9 ' (or). W) = :] Notice that g'(o:) = 0 when a: = 5, that is, g'(5) = 0. Now, we want to know whether there is a local minimum or local maximum at a: = 5, so we will use the second derivative test. Find the second derivative, 9' '(m). 9' v) = :] Evaluate g' (5) M5) = Based on the sign of this number, does this mean the graph of 9(a) is concave up or concave down at it\": = 5? [Answer either up or down -- watch your spelling! !] At a: = 5 the graph of g(:t:) is concave Based on the concavity of 9(3) at :c = 5, does this mean that there is a local minimum or local maximum at o: = 5? [Answer either minimum or maximum -- watch your spelling!!] At .1: = 5 there is a local \\