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Differentiate the following function w...

Differentiate the following function with respect to `x :` `tan^-1(x/(1+sqrt(1-x^2)))` `,-1 < x <1`

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`y=tan ^{-1}{frac{x}{1+sqrt{1-x^{2}}}}`
Let `x=sin theta` Now
`y=tan ^{-1}{frac{sin theta}{1+sqrt{1-sin ^{2} theta}}}`
Using `sin ^{2} theta+cos ^{2} theta=1` ...
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