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

  • A
    $\frac{8}{5}$
  • B
    $\frac{5}{8}$
  • C
    $\frac{4}{5}$
  • D
    $0$

Explore More

Similar Questions

$\frac{d}{d x}\left(\cos ^{-1}\left(\frac{x-\frac{1}{x}}{x+\frac{1}{x}}\right)\right)=$

If $y=\cos ^{-1}\left(\frac{a^2}{\sqrt{x^4+a^4}}\right)$,then $\frac{d y}{d x}$ is

$\frac{d}{dx} \left\{ \sin^2 \left( \cot^{-1} \sqrt{\frac{1 + x}{1 - x}} \right) \right\} =$

For $x \in \left(0, \frac{1}{4}\right)$,if the derivative of $\tan ^{-1}\left(\frac{6 x \sqrt{x}}{1-9 x^3}\right)$ is $\sqrt{x} \cdot g(x)$,then $g(x)$ equals

$\frac{d}{dx} \left[ \tan^{-1} \left( \frac{\sqrt{x}(3 - x)}{1 - 3x} \right) \right] =$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo