Suppose that the function graphed below is f (x), the derivative of f(x). Find the locations of all relative Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. extrema of f(x), and tell whether each extremum is a relative maximum or minimum. Af(x) O A. The function f(x) has a relative maximum at x = and has no relative minimum. (Round to the nearest integer as needed. Use a comma to separate answers as needed.) O B. The function f(x) has a relative minimum at x = and has a relative maximum at x = (Round to the nearest integer as needed. Use a comma to separate answers as needed.) O C. The function f(x) has a relative minimum at x = |and has no relative maximum. (Round to the nearest integer as needed. Use a comma to separate answers as needed.) O D. The function f(x) has no relative extrema. O E. There is not enough information given.Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. 8/13 f(x) = 8x + 13x Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. There are no relative maxima. The function has a relative minimum of at x = (Use a comma to separate answers as needed.) O B. The function has a relative maximum of at x = and a relative minimum of at x = (Use a comma to separate answers as needed.) O C. There are no relative minima. The function has a relative maximum of at x = (Use a comma to separate answers as needed.) O D. There are no relative extrema.Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. x - 10x + 25 f(x) = X- 7 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. There are no relative minima. The function has a relative maximum of at x = (Use a comma to separate answers as needed.) O B. There are no relative maxima. The function has a relative minimum of at x = (Use a comma to separate answers as needed. ) O C. The function has a relative maximum of at x = and a relative minimum of at x = (Use a comma to separate answers as needed.) O D. There are no relative extrema.The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In ( - x + 9x- + 81x + 1) (0sx 10). a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit?A company found that new employees prefer training sessions of moderate length; shorter training sessions The training session length that received the highest rating is |minutes. provided too little instruction to complete a task, while longer training sessions contain too much instruction to remember. For a training session on a particular task, the company determined that the ratings new (Simplify your answer.) 32t employees gave for the training session could be approximated by R(t) = , where t is the length of the 1- + 256 training session in minutes. Find the training session length that received the highest rating