If f(x) = sin-1((\frac{2x}{1+x^2})), then f'((\sqrt3)) is() | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If f(x) = sin-1 $(\frac{2x}{1+x^2})$ , then f' $(\sqrt3)$ is$$

A

$-\frac{1}{2}$

B

$\frac{1}{2}$

C

$\frac{1}{\sqrt3}$

D

$-\frac{1}{\sqrt3}$

Answer

$-\frac{1}{2}$

Explanation

Solution

The correct answer is (A) : $-\frac{1}{2}$ .