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
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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.
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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