38. f(x) ex 1 + ex

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 27E
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Number 38
33-40
(a) Find the vertical and horizontal asymptotes.
(b) Find the intervals of increase or decrease.
(c) Find the local maximum and minimum values.
(d) Find the intervals of concavity and the inflection points.
(e) Use the information from parts (a)-(d) to sketch the graph
of f.
33. f(x)
=
X
2
x²
1
34. f(x)
35. f(x)
36. f(x) = x tan x, - π/2 < x < TT/2
37. f(x) = ln(1 - In x)
= X +1 X
38. f(x)
=
=
x²
(x - 2)²
et
1 + ex
Transcribed Image Text:33-40 (a) Find the vertical and horizontal asymptotes. (b) Find the intervals of increase or decrease. (c) Find the local maximum and minimum values. (d) Find the intervals of concavity and the inflection points. (e) Use the information from parts (a)-(d) to sketch the graph of f. 33. f(x) = X 2 x² 1 34. f(x) 35. f(x) 36. f(x) = x tan x, - π/2 < x < TT/2 37. f(x) = ln(1 - In x) = X +1 X 38. f(x) = = x² (x - 2)² et 1 + ex
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