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Answer the following questions about the function whose derivative is f'(x) = (x - 2)²(x+3). a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The critical point(s) of f is/are x = (Simplify your answer. Use a comma to separate answers as needed.) B. The function f has no critical points. *** b. Determine where f is increasing and decreasing. Select the correct choice below and fill in the answer box to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed.) OA. The function is increasing on the open interval(s) and decreasing on the open interval(s) B. The function f is decreasing on the open interval(s) and never increasing. 1x C. The function f is increasing on the open interval(s) and never decreasing. c. Determine the local maximum/maxima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no local maximum. Determine the local minimum/minima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= L (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no local minimum.

Answer the following questions about the function whose derivative is f'(x) = (x - 2)²(x+3). a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The critical point(s) of f is/are x = (Simplify your answer. Use a comma to separate answers as needed.) B. The function f has no critical points. *** b. Determine where f is increasing and decreasing. Select the correct choice below and fill in the answer box to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed.) OA. The function is increasing on the open interval(s) and decreasing on the open interval(s) B. The function f is decreasing on the open interval(s) and never increasing. 1x C. The function f is increasing on the open interval(s) and never decreasing. c. Determine the local maximum/maxima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no local maximum. Determine the local minimum/minima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= L (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no local minimum.

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Answer the following questions about the function whose derivative is f'(x) = (x - 2)²(x+3). a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The critical point(s) of f is/are x = (Simplify your answer. Use a comma to separate answers as needed.) B. The function f has no critical points. *** b. Determine where f is increasing and decreasing. Select the correct choice below and fill in the answer box to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed.) OA. The function is increasing on the open interval(s) and decreasing on the open interval(s) B. The function f is decreasing on the open interval(s) and never increasing. 1x C. The function f is increasing on the open interval(s) and never decreasing. c. Determine the local maximum/maxima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no local maximum. Determine the local minimum/minima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= L (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no local minimum.
Transcribed Image Text:Answer the following questions about the function whose derivative is f'(x) = (x - 2)²(x+3). a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? a. Find the critical points, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The critical point(s) of f is/are x = (Simplify your answer. Use a comma to separate answers as needed.) B. The function f has no critical points. *** b. Determine where f is increasing and decreasing. Select the correct choice below and fill in the answer box to complete your choice. (Type your answer in interval notation. Use a comma to separate answers as needed.) OA. The function is increasing on the open interval(s) and decreasing on the open interval(s) B. The function f is decreasing on the open interval(s) and never increasing. 1x C. The function f is increasing on the open interval(s) and never decreasing. c. Determine the local maximum/maxima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no local maximum. Determine the local minimum/minima, if any. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. x= L (Simplify your answer. Use a comma to separate answers as needed.) OB. There is no local minimum.
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