Question

Match List I with List II

| LIST I| | LIST II
---|---|---|---
A.| $\frac{d}{dx} [tan^{-1} (\frac{3x-x^3}{1-3x^2})]$| I.| $\frac{3}{1+x^2}$
B.| $\frac{d}{dx}[cos^{-1}(\frac{1-x^2}{1+x^2})]$| II.| $\frac{-3}{1+x^2}$
C.| $\frac{d}{dx}[cos^{-1} (\frac{2x}{1+x^2})]$| III.| $\frac{-2}{1+x^2}$
D.| $\frac{d}{dx}[cot^{-1}(\frac{3x-x^3}{1-3x^2})]$| IV.| $\frac{2}{1+x^2}$

Choose the correct answer from the options given below:

• A. A-II, B-III, C-I, D-IV
• B. A-IV, B-II, C-I, D-III
• C. A-III, B-I, C-IV, D-II
• D. A-I, B-IV, C-III, D-II

Answer 1

Answer: (D)

A-I, B-IV, C-III, D-II

Answer 2

The correct option is(D):A-I, B-IV, C-III, D-II