MCQ
If $y =\sin ^{-1}\left[\frac{\sqrt{1+x}+\sqrt{1-x}}{2}\right]$, then $\frac{ dy }{ dx }=$ ?
  • $\left(-\frac{1}{2}\right) \frac{1}{\sqrt{1-x^2}}$
  • B
    $\left(-\frac{1}{2}\right) \frac{1}{\sqrt{x^2-1}}$
  • C
    $\left(\frac{1}{4}\right) \frac{1}{\sqrt{x^2-1}}$
  • D
    $\left(\frac{1}{4}\right) \frac{1}{\sqrt{1-x^2}}$

Answer

Correct option: A.
$\left(-\frac{1}{2}\right) \frac{1}{\sqrt{1-x^2}}$
A

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