The derivative of $\operatorname{Sec}^{-1}\left(\frac{1}{2 x^2-1}\right)$ with respect to $\sqrt{1-x^2}$ at $x=\frac{1}{2}$ is

• A

  $-2$
• B

  $1$
• C

  $2$
• Correct answer
  D

  $4$

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