Sketch the graph of a function that satisfies all of the given conditions. • f'(2) = f'(-2) = 0 f'(x) > 0 if x < 2 • f'(x) < 0 if 23 • ƒ"(x) > 0 if −2 < x < 0 • inflection point (0,1)
Sketch the graph of a function that satisfies all of the given conditions. • f'(2) = f'(-2) = 0 f'(x) > 0 if x < 2 • f'(x) < 0 if 23 • ƒ"(x) > 0 if −2 < x < 0 • inflection point (0,1)
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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Transcribed Image Text:2. Sketch the graph of a function that satisfies all of the given conditions.
• f'(2) = f'(-2) = 0
●
f'(x) > 0 if x < 2
• f'(x) < 0 if 2<x<3
• ƒ'(x) = 1 if |x| > 3
• ƒ"(x) > 0 if −2 < x < 0
• inflection point (0,1)
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