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Given is the graph for the second derivative of some function f(x) which has the domain of (-co, co) (i.e., the graph of f"(x)). y 10 8 -10-8 -6 9 4 2 2 2 46 -8 -10- 6 8 co 10 X

Given is the graph for the second derivative of some function f(x) which has the domain of (-co, co) (i.e., the graph of f"(x)). y 10 8 -10-8 -6 9 4 2 2 2 46 -8 -10- 6 8 co 10 X

Advanced Engineering Mathematics
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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Given is the graph for the second derivative of some function f(x) which has the domain of (-co, co) (i.e., the graph of f(x)). 10 y 8 6 4 2 -10-8 -6 4 -2 2 2 4 6 8 10F 6 8 10 X @
Transcribed Image Text:Given is the graph for the second derivative of some function f(x) which has the domain of (-co, co) (i.e., the graph of f(x)). 10 y 8 6 4 2 -10-8 -6 4 -2 2 2 4 6 8 10F 6 8 10 X @
(a) Find the partition numbers of f"(x). (Enter your answers as a comma-separated list. If there are none, enter NONE.) X = x (b) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) x (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.) x = x (e) Find the interval(s) where f'(x) is increasing. (Enter your answer using interval notation.) x (f) Find the interval(s) where f'(x) is decreasing. (Enter your answer using interval notation.) x (g) Find the x-value(s) where f'(x) has local maxima. (Enter your answers as a comma-separated list. If there are none, enter NONE.) x = x (h) Find the x-value(s) where f'(x) has local minima. (Enter your answers as a comma-separated list. If there are none, enter NONE.) x = x
Transcribed Image Text:(a) Find the partition numbers of f"(x). (Enter your answers as a comma-separated list. If there are none, enter NONE.) X = x (b) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) x (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.) x = x (e) Find the interval(s) where f'(x) is increasing. (Enter your answer using interval notation.) x (f) Find the interval(s) where f'(x) is decreasing. (Enter your answer using interval notation.) x (g) Find the x-value(s) where f'(x) has local maxima. (Enter your answers as a comma-separated list. If there are none, enter NONE.) x = x (h) Find the x-value(s) where f'(x) has local minima. (Enter your answers as a comma-separated list. If there are none, enter NONE.) x = x
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