Answer the following questions for the function f(x) = - 8x3 36x2 + 240x 10. a. Find formulas for f'(x) and f\"(x). f'(x) = 24x2 72x + 240 f\"(x) = - 48x 72 Enter f(x). f'(x), and f\"(x) into your grapher to examine the table. b. The formula for the rst derivative f'(x) can be factored. Set f'(x) = 0 to find the two critical numbers. Hint: You can factor out 24 from all terms in the formula for f'(x). You can also scroll the table function on your calculator. The critical values are x = 2, 5 . (Use a comma to separate answers as needed.) c. Use your table to complete the following. At the negative critical value listed in part b, what does your table tell you about the value of the second derivative? f\"(|:D = 168 (Type integers or simplified fractions.)