Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. K f(x) = - 8x - 3In x First find the derivative of f(x). f' ( x ) =[ Now find any critical numbers of f(x). O A. The critical number(s) is/are (Use a comma to separate answers as needed.) O B. There are no critical numbers of f(x). 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.)For the function f(x) = 1x2+81, find f'(x). Then find f'(0) and f"(8). To find f"(x), first find f'(x). F (x) = Find f" (x ). f" ( x ) = Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. f"(0) =(Simplify your answer. Type an exact answer.) O B. f"(0) is undefined. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. F' ( 8 ) ~ (Type an integer or a decimal. Do not round until the final answer. Then round to two decimal places as needed.) O B. f"(8) is undefined.This question: 1 point(s) possible Sub A cylindrical box will be tied up with a ribbon as shown in the accompanying figure. The longest piece of ribbon available is 178 cm long, and 10 cm of that is required for the bow Find the radius and height of the box with the largest possible volume. The largest box has a radius of cm and a height of cm