In Column I, functions are given and in Column II their corresponding derivatives are given. Mat....

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In Column I, functions are given and in Column II
\( \mathrm{P} \)
their corresponding derivatives are given. Match them.
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\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \( \log \tan \left(\frac{\pi}{4}+\frac{x}{2}\right) \) & (P) & \( \frac{2}{x} \sin \log \left(x^{4}\right) \) \\
\hline (B) & \( \sin ^{2}\left(\log x^{2}\right) \) & (Q) & \( \frac{2 y}{\sqrt{x^{2}+1}} \) \\
\hline (C) & \( \log \left[\frac{\sqrt{1+x^{2}}+x}{\sqrt{1+x^{2}}-x}\right]^{1 / 2} \) & (R) & \( \sec x \) \\
\hline (D) & \( \left(x+\sqrt{x^{2}+1}\right)^{2} \) & (S) & \( \frac{1}{\sqrt{1+x^{2}}} \) \\
\hline
\end{tabular}
(1) A-R; B-P; C-S; D-Q
(2) A-R; B-S; C-P; D-Q
(3) A-Q; B-P; C-R; D-S
(4) A-R; B-P; C-Q; D-S


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