Let \( f(x)=\left|\begin{array}{ccc}x^{3} & \sin x & \cos x...
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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 a constant. Then \( \frac{d^{3}}{d x^{3}}\{f(x)\} \) at \( x=0 \)
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