Calculus + Algebra = Calgebra!

Calculus Level 4

Let \(f(x)\) be a monic quartic polynomial such that ,

\(f(1) = 11\) , \(f(2) = 39\) , \(f(3) = 123\) , \(f(4) = 323\)

Then evaluate : \[\lim _{x\rightarrow 1}\left ( f^{'}(x) . f^{''}(x)\right )\]

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