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Simplify and find derivative

 
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Jul24-12, 07:21 PM   #18
 

Simplify and find derivative


Quote by swoodward View Post
-2x+2+2/(1-x)

derivative = -2 + 2/(1-x)^2

I am driving many of you nuts and I thank you for your patience
Derivative of that is correct, but isn't it inside of a natural log, and according to the original equation that was given, the simplification would be
ln((1+x)/(1-x))
 
Jul24-12, 07:25 PM   #19
 
ok thanks
 
Jul24-12, 09:09 PM   #20
 
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Quote by swoodward View Post
-2x+2+2/(1-x)

derivative = -2 + 2/(1-x)^2

I am driving many of you nuts and I thank you for your patience
Yes, you are driving us nuts, because you are not being clear in who you are replying to (or you do not completely answer someone's question), and because you show only snippets of work, not the whole thing.

First thing (and Mark44 asked this already), is this what is supposed to be inside the natural log? Yes or no?
[itex]2x + \frac{1}{1 - x} - 4x + \frac{x}{1 - x} + 2x [/itex]

Second, where did the bolded come from?
Quote by swoodward View Post
-2x+2+2/(1-x)

derivative = -2 + 2/(1-x)^2
If the bolded is supposed to be a simplification of the LaTeX I wrote above, then it's wrong. Show us all of your work. Be clear and precise. Otherwise, people won't want to help you.
 
Jul24-12, 09:26 PM   #21
 
I feel like you just want the answer, rather than the help. If that's so you can check your answers in wolframalpha.com. It will spit out answers for you.
 
Jul24-12, 09:31 PM   #22
 
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Test:

[tex]-2x+2+\frac { 2 }{ 1-x } [/tex]

OK, this free Chrome plug-in called "Daum Equation Editor" works quite well for those who haven't the first clue about LaTeX. It's got buttons for fraction formatting, logarithms, etc.

EDIT: And I guess this was the original problem, also formatted via Daum editor. Wanted to test the "itex" tags too: [itex]\frac { 1 }{ 2 } \ln { (2x+\frac { 1 }{ 1-x } -4x+\frac { x }{ 1-x } +2x) } [/itex].
 
Jul25-12, 01:08 PM   #23
 
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Quote by Curious3141 View Post
And I guess this was the original problem, also formatted via Daum editor. Wanted to test the "itex" tags too: [itex]\frac { 1 }{ 2 } \ln { (2x+\frac { 1 }{ 1-x } -4x+\frac { x }{ 1-x } +2x) } [/itex].
At 23 posts in this thread we shouldn't have to still be asking what the OP meant in the first post.
 
Jul25-12, 07:45 PM   #24
 
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Quote by Mark44 View Post
At 23 posts in this thread we shouldn't have to still be asking what the OP meant in the first post.
Yes, I agree. I hope the OP formats his actual question using the editor I suggested - it's freely available, after all.
 
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