Answer the following questions about the function whose derivative is given below. a. What are the...

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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 and minimum values? f'(x) = (9 sin x − 9) (2 cos x+√3), 0≤x≤ 2π a. What are the critical points of f? X= (Use a comma to separate answers as needed.) b. On what open intervals is f increasing or decreasing? (Use a comma to separate answers as needed.) A. The function f is decreasing on the open interval(s) B. The function f is increasing on the open interval(s) C. The function f is increasing on the open interval(s) and never increasing. and decreasing on the open interval(s) and never decreasing. c. At what points, if any, does f assume local maximum values? (Use a comma to separate answers as needed.) A. The function f has a local maximum at x = B. There is no local maxima. At what points, if any, does f assume local minimum values? (Use a comma to separate answers as needed.) A. The function f has a local minimum at x = B. There is no local minima. 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 and minimum values? f'(x) = (9 sin x − 9) (2 cos x+√3), 0≤x≤ 2π a. What are the critical points of f? X= (Use a comma to separate answers as needed.) b. On what open intervals is f increasing or decreasing? (Use a comma to separate answers as needed.) A. The function f is decreasing on the open interval(s) B. The function f is increasing on the open interval(s) C. The function f is increasing on the open interval(s) and never increasing. and decreasing on the open interval(s) and never decreasing. c. At what points, if any, does f assume local maximum values? (Use a comma to separate answers as needed.) A. The function f has a local maximum at x = B. There is no local maxima. At what points, if any, does f assume local minimum values? (Use a comma to separate answers as needed.) A. The function f has a local minimum at x = B. There is no local minima.