$\frac{d}{d x}\left(\sin ^{-1} \frac{3+4 x}{5 \sqrt{1+x^2}}\right)=$

• Correct answer
  A

  $\frac{1}{1+x^2}$
• B

  $\frac{-1}{1+x^2}$
• C

  $\frac{1}{\sqrt{1+x^2}}$
• D

  $\frac{-1}{\sqrt{1+x^2}}$

Hence, the correct answer is option: 'A'.