X = y 15 13 11 9 753 -11-9-7-5-3-1 1 3 3+. X = -5 57 -7 -9 11 -13 15 S (a) Find the partition numbers of f"(x). (Enter your answers as a comma-separated list. If there are none, enter NONE.) 7 9 11 (b) Find the interval(s) where f"(x) > 0. (Enter your answer using interval notation.) (c) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (d) Find the x-value(s) of inflection points of f(x). (Enter your answers as a comma-separated list. If there are none, enter NONE.)

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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Given is the graph for the derivative of some function f(x) which has the domain of (-∞, ∞) (i.e., the graph of f'(x)).
y
X =
15
13
11
9
753
-11-9 7-5-3-11 3
3 in
3
-5
-7
-91
-11
as
-13-
15
5 7 9 11
X
(a) Find the partition numbers of f"(x). (Enter your answers as a comma-separated list. If there are none, enter NONE.)
(b) Find the interval(s) where f"(x) > 0. (Enter your answer using interval notation.)
(c) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.)
(d) Find the x-value(s) of inflection points of f(x). (Enter your answers as a comma-separated list. If there are none, enter
NONE.)
Transcribed Image Text:Given is the graph for the derivative of some function f(x) which has the domain of (-∞, ∞) (i.e., the graph of f'(x)). y X = 15 13 11 9 753 -11-9 7-5-3-11 3 3 in 3 -5 -7 -91 -11 as -13- 15 5 7 9 11 X (a) Find the partition numbers of f"(x). (Enter your answers as a comma-separated list. If there are none, enter NONE.) (b) Find the interval(s) where f"(x) > 0. (Enter your answer using interval notation.) (c) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (d) Find the x-value(s) of inflection points of f(x). (Enter your answers as a comma-separated list. If there are none, enter NONE.)
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