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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) = (7 sinx-7)(√2 cos x + 1), 0≤x≤2x

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) = (7 sinx-7)(√2 cos x + 1), 0≤x≤2x

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
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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) = (7 sinx-7)(√2 cos x+1), 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.) O A. The function f is increasing on the open interval(s) B. The function f is increasing on the open interval(s) C. The function f is decreasing on the open interval(s) " 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. and never decreasing. and decreasing on the open interval(s). and never increasing. c. At what points, if any, does f assume local maximum values? (Use a comma to separate answers as needed.) O A. The function f has a local maximum at x = B. There is no local maxima.
Transcribed Image Text: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) = (7 sinx-7)(√2 cos x+1), 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.) O A. The function f is increasing on the open interval(s) B. The function f is increasing on the open interval(s) C. The function f is decreasing on the open interval(s) " 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. and never decreasing. and decreasing on the open interval(s). and never increasing. c. At what points, if any, does f assume local maximum values? (Use a comma to separate answers as needed.) O A. The function f has a local maximum at x = B. There is no local maxima.
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