Be sure to show the analysis that leads to your conclusion because your score will reflect the correctness of your methods as well as your final answer. 1. Given f(x) = xe* a. find f'(x) b. Use the first derivative to explain why f(x) has a minimum at x = -1 c. find f" (x) d. Determine the location (x-values) of any points of inflection. (7 points) 2. Using calculus, explain why functions of the form f(x) = In(kx), where k is any real number, don't have points of inflection. (3 points)