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ayush_2008
Poincare Conjecture
Poincare Conjecture

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Joined: 07 May 2008
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#1
Inverse

If f(x) =x+tan(x). If f is inverse of g. What is g’(x).

PostPosted: Fri Oct 30, 2009 9:06 am  Back to top 
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J.Y.Choi
Poincare Conjecture
Poincare Conjecture

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Joined: 16 Oct 2009
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Location: Seoul
Korea, Republic of

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#2
Let f(x)=y=x+\tan{x}.

\frac{dy}{dx}=1+\sec^2{x}, so g'(y)=\frac{1}{\frac{dy}{dx}}=\frac{1}{1+\sec^2{x}}. Where y=x+\tan{x}.

We cannot write more simpler, because y=x+\tan{x} can't be written by the form of x=h(y).

PostPosted: Fri Oct 30, 2009 4:05 pm  Back to top 
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