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CalculusQ&A Libraryx 0Answer the questions below about the function whose derivative is f'(x) 1-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?a. What are the critical points of f? Select the correct choice below and, if necessary, fill in the answer box within your choice.O A. x(Use comma to separate answers as needed)O B. The function f has no critical pointsb. On what open intervals is f increasing? Select the correct choice below and, if necessary, fill in the answer box within your choice.O A. The function f is increasing on the interval(s)(Type your answer in interval notation. Use a comma to separate answers as needed.)O B. The function f is not increasing anywhere.On what open intervals is f decreasing? Select the correct choice below and, if necessary, fill in the answer box within your choiceO A. The function f is decreasing on the interval(s)(Type your answer in interval notation. Use a comma to separate answers as needed.)O B. The function f is not decreasing anywhere.c. At what points, if any, does f assume local maximum values? Select the correct choice below and, if necessary, fill in the answer box within your choice.O A. x=(Use comma to separate answers as needed)O B. There is no local maximum.At what points, if any, does f assume local minimum values? Select the correct choice below and, if necessary, fill in the answer box within your choiceO A. x(Use comma to separate answers as needed)O B. There is no local minimumQuestion

Asked Oct 27, 2019

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Can you help me with this problem step by step?

Step 1

To find critical points we set f'(x)=0 and solve for x.

Answer(a): -5,5

Step 2

We will do sign text to find the increasing and decreasing interval. If f\'(x)>0 then increasing and if f\'(x)<0 then decreasing.

f\'(-6)= 1 - 25/(-6)^2= 11/36 > 0

f\'(-2)= 1 - 25/(-2)^2= - 21/5 < 0

f\'(2)=1 - 25/(2)^2= - 21/5 < 0

f\'...

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