#4. Given the first derivative f '(x) = (x 2)ex, answer the following questions about function f(x) [20pts] Leave two lines in between subparts if not printing this page. a) Determine x value(s) ofthe critical points of f(x) b) Determine f\"(x) and x-value(s) ofthe possible inflection points of f. c) Create a sign chart using the critical points and possible inflection points, 1\" and f" as covered in lessons. cl) Using the above sign chart in part c) determine the intervals where f is Increasing Decreasing Concave up Concave down e) Determine x va|ues for the following, If there is no answer write DNE in the blank. Local minimum at Local maximum at Inflections Points at