Make a sign diagram for the derivative of the rational function. 4x + 12 x - 3 f(x) = ---Select--- relative max --Select--- relative min X = Find all relative extreme points. (If an answer does not exist, enter DNE.) (x, y) = (x, y) = ---Select--- Find all asymptotes. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) vertical asymptote(s) X = horizontal asymptote(s) y = Sketch the graph of the rational function.

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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Make a sign diagram for the derivative of the rational function.
4x + 12
x
3
f(x):
---Select--- V
=
relative max
---Select--- V
X =
Find all relative extreme points. (If an answer does not exist, enter DNE.)
(x, y)
relative min (x, y)
=
=
Find all asymptotes. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
vertical asymptote(s)
X =
---Select--- V
horizontal asymptote(s) y =
Sketch the graph of the rational function.
Transcribed Image Text:Make a sign diagram for the derivative of the rational function. 4x + 12 x 3 f(x): ---Select--- V = relative max ---Select--- V X = Find all relative extreme points. (If an answer does not exist, enter DNE.) (x, y) relative min (x, y) = = Find all asymptotes. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) vertical asymptote(s) X = ---Select--- V horizontal asymptote(s) y = Sketch the graph of the rational function.
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