4. [14 Points] Find all critical pomts of g(t + t and cla55Ify each as a local minimum, local maXImum, or neither. f = |:| (smaller value) This critical point is w . t = |:| (larger value) This critical point is w. Submit Answer 5. [47.5mm Consider f(x) : 4(5 x)5 . (a) Find f'(x) and factor your answer completely. (b) Find all critical points of f(x), then use an appropriate derivative test to determine local maxima and minima. f(x) has at x : |:| (smallest value) we has an = E rm has at x = E mes: value) 6. [mm Use f(x) : x bln(x) to answer the questions below. Assume b is a positive constant and x > 0. (a) Find f'(x) = (b) Find the critical point of f(x) . Your answer may have b in it. x: ro riate test to classif the critical ---Seleot