x 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 minimum

Question
Asked Oct 27, 2019
86 views

Can you help me with this problem step by step?

x 0
Answer 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 points
b. 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 choice
O 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 choice
O A. x
(Use comma to separate answers as needed)
O B. There is no local minimum
help_outline

Image Transcriptionclose

x 0 Answer 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 points b. 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 choice O 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 choice O A. x (Use comma to separate answers as needed) O B. There is no local minimum

fullscreen
check_circle

Expert Answer

Step 1

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

Answer(a): -5,5

help_outline

Image Transcriptionclose

25 f'(x) 1 2 25 1- 0 х- 25 1= X x2-25 x-5

fullscreen
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\'...

help_outline

Image Transcriptionclose

5 6 2 6 - 2

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in