Let \( f(x)=\left|\begin{array}{ccc}x^{3} & \sin x & \cos x \\ 6 & ...
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Let \( f(x)=\left|\begin{array}{ccc}x^{3} & \sin x & \cos x \\ 6 & -1 & 0 \\ p & p^{2} & p^{3}\end{array}\right| \), where \( p \) is constant.
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Thę, \( \frac{d^{3}}{d x^{3}} f(x) \) at \( x=0 \) is \( \quad(1997,2 \mathrm{M}) \)
(a) \( p \)
(b) \( p+p^{2} \)
(c) \( p+p^{3} \)
(d) independent of \( p \)
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