Match for each functions in List - I to its derivative given in List-II
\(\begin{array}{ll}
\hline \text { List I } & \text { List II } \\
\hline \text {(A) } \sin ^{-1}\left(\frac{2 x}{1+x^2}\right) & \text { (I) } \cos x-\sin x \\
\hline \text {(B) } \tan ^{-1}\left(\frac{1-x}{1+x}\right) & \text { (II) } \frac{-1}{1+x^2} \\
\hline \text {(C) } e^{\log (\sin x+\cos x)} & \text { (III) } \frac{2}{1+x^2} \\
\hline \text {(D) } \sqrt{1-\sin 2 x}\left(0 < x < \frac{\pi}{4}\right) & \text { (IV) } \cos x+\sin x \\
\hline & \text { (V) }-\sin x-\cos x \\
\hline
\end{array}\)
The correct match is

1. A \(\begin{array}{cccc}\text { A } & \text { B } & \text { C } & \text { D } \\ \text { III } & \text { II } & \text { I } & \text { V } \end{array}\)
2. B \(\begin{array}{cccc}\text { A } & \text { B } & \text { C } & \text { D } \\ \text { II } & \text { III } & \text { V } & \text { IV } \end{array}\)
3. C \(\begin{array}{cccc}\text { A } & \text { B } & \text { C } & \text { D } \\ \text { II } & \text { III } & \text { V } & \text { I }\end{array}\)
4. D \(\begin{array}{cccc}\text { A } & \text { B } & \text { C } & \text { D } \\ \text { III } & \text { II } & \text { I } & \text { IV }\end{array}\)