(d) Give the local maximum and minimum values of f(x). Enter your answers in increasing order of the x-value. If there are less than two local extrema, enter NA in the remaining response areas and the corresponding drop-down menu. Include a multiplication sign between symbols. For example, a . π. f( (x) f( (x) & G) = (0, 0) (-512, 256) is a local mini... is a local maxi...
(d) Give the local maximum and minimum values of f(x). Enter your answers in increasing order of the x-value. If there are less than two local extrema, enter NA in the remaining response areas and the corresponding drop-down menu. Include a multiplication sign between symbols. For example, a . π. f( (x) f( (x) & G) = (0, 0) (-512, 256) is a local mini... is a local maxi...
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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Question
May I get some help with part d? Thank you!
Transcribed Image Text:Remaining "How Did I Do?" Uses: 1/3
2
= x + 12x3
Consider the function f (x)
(a) Find the domain of f(x).
Note: Use the letter U for union. To enter ∞, type infinity with a lower case i.
Domain: (-infinity, infinity)
(b) Give the horizontal and vertical asymptotes of f (x), if any.
Enter the equations for the asymptotes. If there is no horizontal or vertical asymptote, enter NA in the associated response area.
horizontal asymptote:
vertical asymptote:
(c) Give the intervals of increase and decrease of f(x).
increasing:
Note: Use the letter U for union. To enter ∞, type infinity with a lower case i.
If the function is never increasing or decreasing, enter NA in the associated response area.
decreasing:
ΝΑ
ΝΑ
(-512, 0)
f( (x)
(-infinity, -512) U (0, infin
(d) Give the local maximum and minimum values of f (x).
f( (x)
Enter your answers in increasing order of the x-value. If there are less than two local extrema, enter NA in the remaining response areas and the
corresponding drop-down menu.
Include a multiplication sign between symbols. For example, a . π.
(0, 0)
(-512, 256)
A₂
is a local mini...
is a local maxi...
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