If the inverse function of y=f(x) is x=g(y) and f'(x)=(1)/(1+x^(2)), then prove thatg'(x)=1+[g(x...

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If the inverse function of` y=f(x)` is` x=g(y) `and `f If the inverse function of` y=f(x)` is` x=g(y) `and `f'(x) = 1/(1+x^2)` , then prove that, `g'(...
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