If range of the function \( f(x)=\tan ^{-1}\left(3 x^{2}+b x+3\right), x \in R \) is \( \left[0,... VIDEO
If range of the function \( f(x)=\tan ^{-1}\left(3 x^{2}+b x+3\right), x \in R \) is \( \left[0, \frac{\pi}{2}\right) \), then square of sum of all possible values of \( b \) will be
(a) 0
(b) 18
(c) 72
(d) None of these
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