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Below is a graph of f'(x), the which is the derivative of the continuous function f(x). 5 f'(x) -4- -3- --2- 1- -5 -4 -3 -2 0 4 5 -2 -3- -4- -5 Using the graph: a) State the critical numbers for the original function f(x). Classify each critical number as a local maximum, minimum or neither and justify your answer. b) Does the original function f(x) has any points of inflection. If it does, state the x coordinate(s) and explain how you know these are points of inflection. -1 3

Below is a graph of f'(x), the which is the derivative of the continuous function f(x). 5 f'(x) -4- -3- --2- 1- -5 -4 -3 -2 0 4 5 -2 -3- -4- -5 Using the graph: a) State the critical numbers for the original function f(x). Classify each critical number as a local maximum, minimum or neither and justify your answer. b) Does the original function f(x) has any points of inflection. If it does, state the x coordinate(s) and explain how you know these are points of inflection. -1 3

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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Below is a graph of f'(x), the which is the derivative of the continuous function f(x). 5 f'(x) -4 -3 -2- -1- -5-4 -3 -2 10 4 5 -2 -3- --4- -5 Using the graph: a) State the critical numbers for the original function f(x). Classify each critical number as a local maximum, minimum or neither and justify your answer. b) Does the original function f(x) has any points of inflection. If it does, state the x coordinate(s) and explain how you know these are points of inflection. 1 2 3
Transcribed Image Text:Below is a graph of f'(x), the which is the derivative of the continuous function f(x). 5 f'(x) -4 -3 -2- -1- -5-4 -3 -2 10 4 5 -2 -3- --4- -5 Using the graph: a) State the critical numbers for the original function f(x). Classify each critical number as a local maximum, minimum or neither and justify your answer. b) Does the original function f(x) has any points of inflection. If it does, state the x coordinate(s) and explain how you know these are points of inflection. 1 2 3
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