Find the derivative of the function \[ f(x)=\operatorname{det}\left[\begin{array}{ccccc} -9 & 5 & 2 & -5 & -8 \\ -4 & 0 & 7 & -9 & -7 \\ 9 & 0 & 0 & 2 & 5 \\ x & -8 & 7 & -4 & -2 \\ 7 & 0 & 0 & 0 & 7 \end{array}\right] . \]
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