If \( P=\left|\begin{array}{ll}x & 1 \\ 1 & x\end{array}\right| \) and \( Q=\left|\begin{array}{...

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If \( P=\left|\begin{array}{ll}x & 1 \\ 1 & x\end{array}\right| \) and \( Q=\left|\begin{array}{ccc}x & 1 & 1 \\ 1 & x & 1 \\ 1 & 1 & x\end{array}\right| \), then \( \frac{d Q}{d x} \) is equal to
(a) \( 3 P+1 \)
(b) \( 1-3 P \)
(c) \( -3 p \)
(d) \( 3 P \)
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