If \( x=\sin ^{-1} t \) and \( y=\log \left(1-t^{2}\right) ; \) then \( \left.\frac{d^{2} y}{d x...
If \( x=\sin ^{-1} t \) and \( y=\log \left(1-t^{2}\right) ; \) then \( \left.\frac{d^{2} y}{d x^{2}}\right|_{t=1 / 2} \)
(A) \( -8 / 3 \)
(B) \( 8 / 3 \)
(C) \( 3 / 4 \)
(D) \( -3 / 4 \)
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