Triple derivative cubic

Calculus Level 3

\[f(x)=x^{3}+bx^{2}+cx+d\] is a monic cubic function . For real \(a,b,c\) and \(x\) .

If \(\sqrt{f'''(x)}< \sqrt{x^{2}+bx+3}\) .

Then , the value which \(b^{2}-4b\) cannot take from given options is ::

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