The following table gives values of the differentiable function y = f(z) 012345678910 y-2-3-1131-1-3125 Estimate the z-values of critical points of f(z) on the interval 0 << 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 z -2 and 2-3, and that the first was a local minimum and the second neither a minimum nor a maximum, you should enter (-2,min), (3,max). Enter none if there are no critical points) critical points and classifications: Now assume that the table gives values of the continuous function y = f'(z) (instead of f(z)). Estimate and classify critical points of the function f(x) critical points and classifications: (Enter your critical points as comma-separated x value, classification pairs. For example, if you found the sign change from positive to negative between 2 and 3, this is a max you would put (2.5,max)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The following table gives values of the differentiable function y = f(x).
x012345678910
y-2-3-1131-1-3125
Estimate the z-values of critical points of f(z) on the interval 0 << 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 z=-2 and 2-3, and
that the first was a local minimum and the second neither a minimum nor a maximum, you should enter (-2,min), (3,max). Enter none if there
are no critical points)
critical points and classifications:
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:
(Enter your critical points as comma-separated x value, classification pairs. For example, if you found the sign change from positive to negative
between 2 and 3, this is a max you would put (2.5,max)
Transcribed Image Text:The following table gives values of the differentiable function y = f(x). x012345678910 y-2-3-1131-1-3125 Estimate the z-values of critical points of f(z) on the interval 0 << 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 z=-2 and 2-3, and that the first was a local minimum and the second neither a minimum nor a maximum, you should enter (-2,min), (3,max). Enter none if there are no critical points) critical points and classifications: 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: (Enter your critical points as comma-separated x value, classification pairs. For example, if you found the sign change from positive to negative between 2 and 3, this is a max you would put (2.5,max)
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