Perform a first derivative test on the function f(x) = √x In 8x; (0,00). a. Locate the critical points of the given function. b. Use the first derivative test to locate the local maximum and minimum values. c. Identify the absolute minimum and maximum values of the function on the given interval (when they exist). a. Locate the critical points of the given function. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The critical point(s) are located at x= (Type an exact answer. Use a comma to separate answers as needed.) OB. There are no critical points. b. Locate the local maximum and minimum values. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. OA. There are local maximum(s) at x = and local minimum(s) at x= (Type exact answers. Use a comma to separate answers as needed.) B. There are local minimum(s) at x= There are no local maximums. (Type an exact answer. Use a comma to separate answers as needed.) C. There are local maximum(s) at x=. There are no local minimums. (Type an exact answer. Use a comma to separate answers as needed.) OD. There are no local maximums nor local minimums. c. Identify the absolute minimum and maximum values of the function. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. OA. The absolute maximum is and the absolute minimum is (Type exact answers. Use a comma to separate answers as needed.) B. The absolute minimum is .There is no absolute maximum. (Type an exact answer. Use a comma to separate answers as needed.) C. The absolute maximum is . There is no absolute minimum. (Type an exact answer. Use a comma to separate answers as needed.) OD. There is no absolute maximum nor absolute minimum.