Suppose that the function graphed below is f'(x), the derivative of f(x). Find the locations of all relative extrema of f(x), and tell whether each extremum is a relative maximum or minimum. T Af'(x) 32 48 16- 24 5 C Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The function f(x) has a relative minimum at x = and has no relative maximum. (Round to the nearest integer as needed. Use a comma to separate answers as needed.) OB. The function f(x) has a relative minimum at x = and has a relative maximum at x = (Round to the nearest integer as needed. Use a comma to separate answers as needed.)
Suppose that the function graphed below is f'(x), the derivative of f(x). Find the locations of all relative extrema of f(x), and tell whether each extremum is a relative maximum or minimum. T Af'(x) 32 48 16- 24 5 C Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The function f(x) has a relative minimum at x = and has no relative maximum. (Round to the nearest integer as needed. Use a comma to separate answers as needed.) OB. The function f(x) has a relative minimum at x = and has a relative maximum at x = (Round to the nearest integer as needed. Use a comma to separate answers as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Suppose that the function graphed below is f'(x), the
derivative of f(x). Find the locations of all relative
extrema of f(x), and tell whether each extremum is a
relative maximum or minimum.
Af'(x)
32
48
16-
24
√
C
Select the correct choice below and,
if necessary, fill in the answer box(es) to
complete your choice.
OA. The function f(x) has a relative
minimum at x = and has no
relative maximum. (Round to the
nearest integer as needed. Use a
comma to separate answers
as needed.)
OB. The function f(x) has a relative
minimum at x =
maximum at x =
(Round to the
nearest integer as needed. Use a
comma to separate answers
as needed.)
and has a relative
OC. The function f(x) has a relative
maximum at x = and has no
relative minimum. (Round to the
nearest integer as needed. Use a
comma to separate answers
as needed.)
D D. The function f(x) has no relative
extrema.
OE. There is not enough information
given.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fada09c83-8448-4738-8177-c552b181d001%2F3d145f9e-b007-4bc8-ab7b-1b40df4996d2%2Ftgczmi_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that the function graphed below is f'(x), the
derivative of f(x). Find the locations of all relative
extrema of f(x), and tell whether each extremum is a
relative maximum or minimum.
Af'(x)
32
48
16-
24
√
C
Select the correct choice below and,
if necessary, fill in the answer box(es) to
complete your choice.
OA. The function f(x) has a relative
minimum at x = and has no
relative maximum. (Round to the
nearest integer as needed. Use a
comma to separate answers
as needed.)
OB. The function f(x) has a relative
minimum at x =
maximum at x =
(Round to the
nearest integer as needed. Use a
comma to separate answers
as needed.)
and has a relative
OC. The function f(x) has a relative
maximum at x = and has no
relative minimum. (Round to the
nearest integer as needed. Use a
comma to separate answers
as needed.)
D D. The function f(x) has no relative
extrema.
OE. There is not enough information
given.
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