Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)= x³ - 27x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed B. The function is never increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is decreasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed B. The function is never decreasing. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. Type integers or simplified fractions.) OA. The function has a local minimum f B. The function has a local maximum f OC. The function has a local maximum f( OD. The function has no local extrema. = = = and no local maximum. and a local minimum f() = . and no local minimum.
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)= x³ - 27x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed B. The function is never increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is decreasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed B. The function is never decreasing. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. Type integers or simplified fractions.) OA. The function has a local minimum f B. The function has a local maximum f OC. The function has a local maximum f( OD. The function has no local extrema. = = = and no local maximum. and a local minimum f() = . and no local minimum.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
please use the first derivative test to show work
![Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.
f(x) = x³ -
=x27x+6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is increasing on
(Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.)
B. The function is never increasing.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is decreasing on
(Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.)
B. The function is never decreasing.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
(Type integers or simplified fractions.)
=
A. The function has a local minimum f( )
B. The function has a local maximum f()
C. The function has a local maximum f
D. The function has no local extrema.
=
=
and no local maximum.
and a local minimum f()
and no local minimum.
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b3f33e4-f146-4d40-b850-891458912994%2F2fe6153d-10fc-4cb9-a961-d716b3ba14c7%2Fui6cdqs_processed.png&w=3840&q=75)
Transcribed Image Text:Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.
f(x) = x³ -
=x27x+6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is increasing on
(Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.)
B. The function is never increasing.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is decreasing on
(Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.)
B. The function is never decreasing.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
(Type integers or simplified fractions.)
=
A. The function has a local minimum f( )
B. The function has a local maximum f()
C. The function has a local maximum f
D. The function has no local extrema.
=
=
and no local maximum.
and a local minimum f()
and no local minimum.
=
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