2 3 Perform a first derivative test on the function f(x) = x (x-2); [-2,2]. 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). A. There is a local minimum at x = 4 5 (Type an integer or a simplified fraction.) B. There is no local minimum. c. Identify the absolute maximum value. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum value is 0. (Type an integer or a decimal rounded to two decimal places as needed.) B. There is no absolute maximum. Identify the absolute minimum value. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute minimum value is -6.35. (Type an integer or a decimal rounded to two decimal places as needed.) B. There is no absolute minimum.