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Differentiate and Simplify

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Scholar
Karma Points: 200
Respect (51%):
Date Posted: 7/23/2008 11:37:07 PM  Status: Live
Differentiate and Simplify
Course Textbook Chapter Problem
N/A N/A N/A N/A
Question Details:
 Find all asymptotes as well as Diff and Simplify: 
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Pupil
Karma Points: 85
Date Posted: 7/23/2008 11:52:04 PM  Status: Live
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Response:
Asymptotes: y=1, x=1, x=-1

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Pupil
Karma Points: 85
Date Posted: 7/23/2008 11:54:53 PM  Status: Live
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Response:


f'(x) = [(x2+1)(2x) - (x2)(2x)] / (x2+1)2 = 2x/(x4+2x2+1)

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Scholar
Karma Points: 200
Date Posted: 7/24/2008 12:02:48 AM  Status: Live
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Response:
how are they x=-1 and x=1, when you find the vertical asymptote by I thought you couldnt take a square root from a negative number.  I will rate you life saver if you could help me out here.  And if by chance you could tell me where the derivative does not exist so when the denominator is equal to 0.

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Sage
Karma Points: 5,430
(Melbourne University)
Date Posted: 7/24/2008 1:08:44 AM  Status: Live
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Response:
..................................>..........................no vertical asymptotes

We find horizontal asymptotes using limits

............
......................>divide by the biggest term∴

=1.............................>y=1....................horizontal asymptotes


: 

derivative is continuous everywhere

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Oracle
Karma Points: 54,060
Date Posted: 7/24/2008 5:17:53 PM  Status: Live
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Response:
Horizontal Asymptote at y=1...
No Horizontal Asymptotes.... Because when you set the denominator equal to zero you get imaginary numbers (not real)...
 
 
 
 
 

 



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