If \( f(x)=\left|\begin{array}{lll}\sec \theta & \tan ^{2} \theta &...

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If \( f(x)=\left|\begin{array}{lll}\sec \theta & \tan ^{2} \theta & 1 \\ \sec \theta & \tan x & x \\ 1 & \tan x-\tan \theta & 0\end{array}\right| \) then \( f^{\prime}(\theta) \) is
(a) 0
(b) \( -1 \)
(c) independent of \( \theta \)
(d) \( \sec \theta(1-\theta) \sec ^{2} \theta-1 \)
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