b. Set the first derivative f'(x) = 0 to find any critical values. Tip: You may wish to graph f'(x) by itself to explore if it has any zeros. It can be helpful to know that the formula of f'(x) factors. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. 1 A. The function f has a critical number at x= 3 ; at this critical number, the second derivative f'(x) = 0. (Type an exact answer.) OB. There are no critical numbers. c. What conclusion can be made from your answer to part b? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. At the critical number x = B. At the critical number x = C. At the critical number x = OD. At the critical number x= the function f is concave down and corresponds to a relative minimum of f(x). the function f is concave down and corresponds to a relative maximum of f(x). the function f is concave up and corresponds to a relative maximum of f(x). the function f is concave up and corresponds to a relative minimum of f(x). E. No conclusion can be made using the second derivative test at this critical number. d. Set the formula for the derivative f'(x) = 0 to find any possible inflection points. f'(x)=0 at x= 1 3 Use the table feature for the graph of f''(x) to examine the concavity of the graph of f(x). What can you conclude? Select the correct choice below and, if necessary, fill in the answer boxes within your choice. OA. There is a point of inflection at x= B. There is a point of inflection at x= lownlo where the graph of f changes from concave down to concave up. The slope of the graph of f at this inflection point is where the graph of f changes from concave up to concave down. The slope of the graph of f at this inflection point is