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Question

Let $x=2$ be a local minima of the function $f(x)=2x^4-18x^2+8x+12,x\in(-4,4)$. If M is local maximum value of the function $f$ in ($-4,4)$, then M =

$18\sqrt6-\frac{33}{2}$
$18\sqrt6-\frac{31}{2}$
$12\sqrt6-\frac{33}{2}$
$12\sqrt6-\frac{31}{2}$

Solution

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