Answer the following questions about the function whose derivative is x2(x 5) x + 6 a. What are the critical points of f? b. On what open intervals is 1' increasing or decreasing? c. At what points, if any, does f assume local maximum or minimum values? f'(x)= ,xa -6. Answer the following questions about the function whose derivative is given below. a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum or minimum values? f' (x) = (8 sin x - 8) (2 cos x + 13 , OSXS2xAnswer the following questions about the function whose derivative is given below. a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum or minimum values? f'(x) = (sin x + 13 cosx (sinx - 13 cos x) , OSXS2xa. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. g(1) = - 4t2 - 3t + 3a. Find the open intervals on which the function is increasing and those on which it is decreasing. b. Identify the function's local extreme values, if any, saying where they occur. f(0) = - 02 -203