Mathematics

Problem

y = \cos^{-1}\left(\frac{1-x^2}{1+x^2}\right)

, then a. Statement I

\frac{dy}{dx} = \frac{2}{1+x^2}

for

x \in R

b. Statement II $\cos^{-1}\left(\frac{1-x^2}{1+x^2}\right) = \begin{cases} 2\tan^{-1}x, & x \ge 0 -2\tan^{-1}x, & x < 0 \end{cases} a. Only Statement I is correct b. Only Statement II is correct c. Both Statement I and Statement II are correct d. Neither Statement I nor Statement II is correct

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