The following table gives values of the differentiable function y = f(x). x0 1234 5 6 789 10 y-4-2-11-1-4-3-21-2-3 Estimate the r-values of critical points of f(x) on the interval 0 < r < 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 a = 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.) 2 and a = 3, and that the first was critical points and classifications: (3,min) f' (x) (instead of f(x)). Estimate and classify critical points of the function and use Now assume that the table gives values of the continuous function y between values such as if between 4 and 5 is a min then use 4.5 min f(x). critical points and classifications : (2.5,max),(3.5,min), (6.5,max),(7.5,min)
The following table gives values of the differentiable function y = f(x). x0 1234 5 6 789 10 y-4-2-11-1-4-3-21-2-3 Estimate the r-values of critical points of f(x) on the interval 0 < r < 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 a = 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.) 2 and a = 3, and that the first was critical points and classifications: (3,min) f' (x) (instead of f(x)). Estimate and classify critical points of the function and use Now assume that the table gives values of the continuous function y between values such as if between 4 and 5 is a min then use 4.5 min f(x). critical points and classifications : (2.5,max),(3.5,min), (6.5,max),(7.5,min)
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:The following table gives values of the differentiable function y =
f(x).
X0 123456789 10
y-4-2-1 1-1-4-3-2 1-2-3
Estimate the r-values of critical points of f(r) on the interval 0 <r< 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 I = -2 and a =
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.)
3, and that the first was
critical points and classifications: (3,min)
中
Now assume that the table gives values of the continuous function y
between values such as if between 4 and 5 is a min then use 4.5 min f(x).
f'(x) (instead of f(x)). Estimate and classify critical points of the function and use
critical points and classifications : (2.5.max), (3.5,min), (6.5.max),(7.5.min)
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