differentiation

Question: If $y={{\sin }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)$, then $\frac{dy}{dx}$ equals

1) $\frac{2}{1-{{x}^{2}}}$

2) $\frac{1}{1+{{x}^{2}}}$

3) $\pm \frac{2}{1+{{x}^{2}}}$

4) $-\frac{2}{1+{{x}^{2}}}$

Solution:

Explanation: No Explanation

Differentiation by substitution Higher order derivatives

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