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x012 3 45 6 7 8 9 10 231-112-1-2-4-7-10 Estimate the a-values of critical points of f(x) on the interval 0

x012 3 45 6 7 8 9 10 231-112-1-2-4-7-10 Estimate the a-values of critical points of f(x) on the interval 0

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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The following table gives values of the differentiable function y = f(x). x012 3 45 6 7 89 10 y231-112-1-2-4-7-10 Estimate the T-values of critical points of f(x) on the interval 0 < x < 10. Classify each critical point as a local maximum, local minimum, or neither. (Enter your critical points as comma-separated xvalue,classification pairs. For example, if you found the critical points x = -2 and x = 3, and that the first was a local minimum and the second neither a minimum nor a maximum, you should enter (-2,min), (3,neither). Enter none if there are no critical points.) critical points and classifications: (1,max), (2,neither), (3,min), (4,neither), (5,max), (7,neither) Now assume that the table gives values of the continuous function y = f'(x) (instead of f(x)). Estimate and classify critical points of the function f(x). critical points and classifications: none
Transcribed Image Text:The following table gives values of the differentiable function y = f(x). x012 3 45 6 7 89 10 y231-112-1-2-4-7-10 Estimate the T-values of critical points of f(x) on the interval 0 < x < 10. Classify each critical point as a local maximum, local minimum, or neither. (Enter your critical points as comma-separated xvalue,classification pairs. For example, if you found the critical points x = -2 and x = 3, and that the first was a local minimum and the second neither a minimum nor a maximum, you should enter (-2,min), (3,neither). Enter none if there are no critical points.) critical points and classifications: (1,max), (2,neither), (3,min), (4,neither), (5,max), (7,neither) Now assume that the table gives values of the continuous function y = f'(x) (instead of f(x)). Estimate and classify critical points of the function f(x). critical points and classifications: none
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