Differentiation

Match the functions of List-I with derivates given in List-II

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\( \text { List-I } \)		\( \text { List-II } \)
A.	\( \sec ^{-1} x \)	I.	\( \frac{1}{1-x^2}, x \in(-1,1) \)
B.	\( \tanh ^{-1} x \)	II.	\( \frac{-1}{|x| \sqrt{x^2+1}}, x \neq 0 \)
C.	\( \operatorname{coth}^{-1} x \)	III.	\( \frac{1}{|x| \sqrt{x^2-1}},|x|>1 \)
D.	\( \operatorname{cosech}^{-1} x \)	IV.	\( \frac{1}{1-x^2}, x \in \mathbf{R}-[-1,1] \)
		V.	\( \frac{-1}{|x| \sqrt{1-x^2}},|x|<1, x \neq 0 \)