Question

Match List I with List IIList I
(Functions)| List II
(Derivatives)
---|---
A.| f(x)=sin-1x| I.| $\frac{1}{1+x^2}$, x ∈ R
B.| f(x)=tan-1x| II.| $\frac{1}{\sqrt{1-x^2}}$, x ∈ (-1, 1)
C.| f(x)=cos-1x| III.| $-\frac{1}{\sqrt{1-x^2}}$, x ∈ (-1, 1)
D.| f(x)=sin-1x| IV.| $-\frac{1}{1+x^2}$, x ∈ R
Choose the correct answer from the options given below :

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

Answer 1

Answer: (C)

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

Answer 2

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