he graph of the derivative g' has exactly two roots. Complete parts a through c. OB. There are no critical points. b. For what values of x in (0,6) is g increasing? Decreasing? Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice. The function is decreasing on the open interval(s) (0,2), (5,6) and increasing on the open interval(s) (2,5). (Type your answers in interval notation. Use a comma to separate answers as needed.) OB. The function is decreasing on the open interval(s) The function is never increasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) O A. There is a local maximum at x = (Type exact answers.) OB. There is a local minimum at x = (Type an exact answer.) and a local minimum at x = OC. The function is increasing on the open interval(s) The function is never decreasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) O D. The function is never increasing nor decreasing. c. For what values of x in (0,6) does g have a local maximum? A local minimum? Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice. There is no local maximum. y=g'(x) There is no local minimum. OC. There is a local maximum at x = (Type an exact answer.) OD. There is no local maximum. There is no local minimum. 3 4 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
The graph of the derivative g' has exactly two roots. Complete parts
a through c.
A. The function is decreasing on the open interval(s) (0,2), (5,6) and increasing on the open interval(s) (2,5).
(Type your answers in interval notation. Use a comma to separate answers as needed.)
OB. There are no critical points.
b. For what values of x in (0,6) is g increasing? Decreasing? Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice.
OB. The function is decreasing on the open interval(s) The function is never increasing.
(Type your answer in interval notation. Use a comma to separate answers as needed.)
OA. There is a local maximum at x =
(Type exact answers.)
B. There is a local minimum at x =
(Type an exact answer.)
C. The function is increasing on the open interval(s) The function is never decreasing.
(Type your answer in interval notation. Use a comma to separate answers as needed.)
D. The function is never increasing nor decreasing.
c. For what values of x in (0,6) does g have a local maximum? A local minimum? Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice.
and a local minimum at x =
There is no local maximum.
Ay
y=g'(x)
There is no local minimum.
Mic
1 2
4
C. There is a local maximum at x =
(Type an exact answer.)
D. There is no local maximum. There is no local minimum.
13
Transcribed Image Text:The graph of the derivative g' has exactly two roots. Complete parts a through c. A. The function is decreasing on the open interval(s) (0,2), (5,6) and increasing on the open interval(s) (2,5). (Type your answers in interval notation. Use a comma to separate answers as needed.) OB. There are no critical points. b. For what values of x in (0,6) is g increasing? Decreasing? Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice. OB. The function is decreasing on the open interval(s) The function is never increasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) OA. There is a local maximum at x = (Type exact answers.) B. There is a local minimum at x = (Type an exact answer.) C. The function is increasing on the open interval(s) The function is never decreasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) D. The function is never increasing nor decreasing. c. For what values of x in (0,6) does g have a local maximum? A local minimum? Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice. and a local minimum at x = There is no local maximum. Ay y=g'(x) There is no local minimum. Mic 1 2 4 C. There is a local maximum at x = (Type an exact answer.) D. There is no local maximum. There is no local minimum. 13
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