Perform a first derivative test on the function f(x)=x-5x-2; [-5,5]. 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 maximum and minimum values of the function on the given interval (when they exist). 2 (Simplify your answer.) OB. There is no local minimum. Locate the maximum value. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. There is a local maximum at x= (Simplify your answer.) B. There is no local maximum. c. Identify the absolute minimum value of the function. Select the correct choice below and, if necessary, fill in the answer boxes to complete your ch A The absolute minimum value is 33 4 (Simplify your answer.) OB. There is no absolute minimum. Identify the absolute maximum value of the function. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The absolute maximum value is (Simplify your answer.) B. There is no absolute maximum.