6 For the function f(x) = -x' , find f''(x), f''(0), f''(1), and f''(- 1). ' f''(x)= Select the correct choice below and fill in any answer boxes in your choice. OA. f''(0) = (Type an integer or a simplified fraction.) B. f'(0) is undefined. Select the correct choice below and fill in any answer boxes in your choice. O A. f''(1)= (Type an integer or a simplified fraction.) B. f'(1) is undefined. Select the correct choice below and fill in any answer boxes in your choice. A. f'(-1)= (Type an integer or a simplified fraction.) B. f'(-1) is undefined. For the function f(x) = In x 2x find f'(x). Then find f''(0) and f''(9). f''(x)= Select the correct choice below and fill in any answer boxes in your choice. A. f''(0) = (Simplify your answer. Type an exact answer.) B. f'(0) is undefined. Select the correct choice below and fill in any answer boxes in your choice. A. f''(9) (Type an integer or a decimal. Do not round until the final answer. Then round to four decimal places as needed.) B. f'(9) is undefined. Find the open intervals where the function f(x) = -2x + 12x + 165x - 9 is concave upward or concave downward. Find any inflection points. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function has a point of inflection at (Type an ordered pair using integers or fractions. Simplify your answer. Use a comma to separate answers as needed.) B. The function does not have an inflection point. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave upward on the interval(s) (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer. Use a comma to separate answers as needed.) B. The function is never concave upward. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave downward on the interval(s) . (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer. Use a comma to separate answers as needed.) B. The function is never concave downward. 2 Find the point of diminishing returns (x,y) for the function R(x) = -0.2x3 +3.3x + 6x where R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising (in thousands of dollars). The point of diminishing returns occurs at approximately (Type an ordered pair. Do not round until the final answer. Then round to two decimal places as needed.) The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x)= a. Find the time at which the concentration is a maximum. b. Find the maximum concentration. a. The concentration will be maximized at x= b. The maximum concentration is %. hour(s). 2x 2 X +9