Let f(x) = x2 ln x (Figure 8-2t). Figure 8-2t a. Use derivatives to find the

Chapter 8, Problem 30

(choose chapter or problem)

Let f(x) = x2 ln x (Figure 8-2t). Figure 8-2t a. Use derivatives to find the x-coordinates of all critical points of f and . b. Show that the limit of f(x) is zero as x approaches zero from the right, but not from the left. LHospitals rule will help. c. Are there any critical points that do not show up on the graph? If so, where, and what type? If not, explain how you know