tion: 4 point(s) possible Find all critical numbers for the following function. Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum. f(x)=-2x3-9x+24x+8 "What is the second derivative of f(x)? 00- tes Find all critical numbers and determine whether they lead to a local maximum or minimum. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The critical number(s) is/are x= There is no local maximum and no local minimum. (Use a comma to separate answers as needed.) B. The critical number(s) is/are x = There is a local maximum at x= There is a local minimum at x= (Use a comma to separate answers as needed.) C. There are no critical numbers. D. The critical number(s) is/are x= There is no local maximum. There is a local minimum at x= (Use a comma to separate answers as needed.) E. The critical number(s) is/are x = There is a local maximum at x=| (Use a comma to separate answers as needed.) There is no local minimum.