Functions are given in Column I and their derived functions are given in Column II. Match them.
....
Functions are given in Column I and their derived functions are given in Column II. Match them.
\( \mathrm{P} \)
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline & \begin{tabular}{l}
\( y=x \sqrt{a^{2}-x^{2}} \) \\
\( +a^{2} \sin ^{-1} \frac{x}{a} \)
\end{tabular} & (P) & \( \sin ^{-1} x+\frac{x}{\sqrt{1-x^{2}}} \) \\
\hline (B) & \( y=\tan ^{-1}\left(\frac{4 \sin x}{3+5 \cos x}\right) \) & (Q) & \( \frac{x^{2}}{1-x^{4}} \) \\
\hline (C) & \( y=\log \left(\frac{1+x}{1-x}\right)^{1 / 4} \) & (R) & \( \frac{4}{5+3 \cos x} \) \\
\hline (D) & \( y=x \sin ^{-1} x \) & (S) & \( 2 \sqrt{a^{2}-x^{2}} \) \\
\hline
\end{tabular}
(1) A-Q; B-P; C-R; D-S
(2) A-P; B-Q; C-S; D-R
(3) A-S; B-R; C-Q; D-P
(4) A-P; B-Q; C-R; D-S
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