Find $\frac{dy}{dx}$ if $y = \sin^{-1}(2x\sqrt{1-x^2})$ where $-\frac{1}{\sqrt{2}} < x < \frac{1}{\sqrt{2}}$.

  • A
    $\frac{2}{\sqrt{1-x^2}}$
  • B
    $-\frac{2}{\sqrt{1-x^2}}$
  • C
    $\frac{1}{\sqrt{1-x^2}}$
  • D
    $-\frac{1}{\sqrt{1-x^2}}$

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