An extremum value of the function \( f(x)= \) \( \left(\sin ^{-1} x...

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An extremum value of the function \( f(x)= \) \( \left(\sin ^{-1} x\right)^{3}+\left(\cos ^{-1} x\right)^{3}(-1x1) \) is
(a) \( 7 \pi^{3} / 8 \)
(b) \( \pi^{3} / 8 \)
(c) \( \pi^{3} / 32 \)
(d) \( \pi^{3} / 16 \)
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