Let f(ac) = a In(a2) - a Use the second derivative test to find the local min/ max of f(x). X At this point, you should find the critical points of f and test the sign of f" there. f has a local max of at c = f has a local min of at c = Further, the graph changes concavity at ~ = 0 from concave down to concave up Now try to sketch a graph of f(x) on your own paper, noting the min, max, and inflection