Chapter 11.5, Problem 51E

Suppose that the graph below is the graph of f'(x), the derivative of f(x). Find the locations of all relative extrema, and tell whether each extremum is a relative maximum or minimum. Af'(x) Select the correct choice below and fill in the answer box(es) within your choice. (Simplify your answer. Use a comma to separate answers as needed.) -10 86-4-2 -9- B 10 X G A. The function f(x) has a relative maximum at x= relative minimum at x = and a B. The function f(x) has a relative maximum at x= no relative minimum. and has C. There is not enough information given. D. The function f(x) has a relative minimum at x= no relative maximum. and has E. The function f(x) has no relative extrema.

K Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x) = 12x+13x 12/13 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. OA. There are no relative maxima. The function has a relative minimum of (Use a comma to separate answers as needed.) OB. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) OC. The function has a relative maximum of at x= (Use a comma to separate answers as needed.) OD. There are no relative extrema. at x= at x= and a relative minimum of at x=

K Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x) = - 2 3 9 -4x+17 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. OA. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) OB. There are no relative maxima. The function has a relative minimum of (Use a comma to separate answers as needed.) OC. The function has a relative maximum of at x= (Use a comma to separate answers as needed.) OD. There are no relative extrema. at x= at x= and a relative minimum of at x=