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Inverse trig (1 Viewer)

nahi11

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Hi,

Could anyone please this inverse trig with working out.

tan^-1 (1/1-x) [So essential inverse tan 1/1-x]

Thanks.

Edit: Sorry the question is "Find the derivative of the above function in simplest form"
 
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Timske

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I'm not sure what the question is
 

SpiralFlex

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What do you want? Simplification?









 
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nahi11

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The answer is 1/ x^2 -2x +x

which is also

1/(x-1)^2 + 1

Also, Spiral what software/program do you use to display your working out like that?
 

Timske

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<a href="http://www.codecogs.com/eqnedit.php?latex=\frac{d}{dx} \tan^{-1}\left (\frac{1}{1-x} \right ) = \frac{1}{x^2 - 2x @plus; 2}" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\frac{d}{dx} \tan^{-1}\left (\frac{1}{1-x} \right ) = \frac{1}{x^2 - 2x + 2}" title="\frac{d}{dx} \tan^{-1}\left (\frac{1}{1-x} \right ) = \frac{1}{x^2 - 2x + 2}" /></a>
 

nahi11

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lol thanks, can you please show me the working out? nevermind, saw spirals post. Thanks for the help guys.


The problem was that I used the formula from the Cambraidge 3U textbook. d/dx tan x/a = a/a^2 + x^2
 
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