If \( y = \sin^2 \left( \cot^{-1} \sqrt{ \dfrac{1 + x}{1 - x} } \right) \) then \( \dfrac{ dy }{ dx } \) is

1
\( \dfrac{ 1 }{ 2 } \)
2
\( 2 \)
3
\( \dfrac{ -1 }{ 2 } \)
4
\( -2 \)

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