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Question

If the absolute maximum value of the function $f(x)=\left(x^{2}-2 x+7\right) \mathrm{e}^{\left(4 x^{3}-12 x^{2}-180 x+31\right)}$ in the interval $[-3,0]$ is $f(\alpha)$, then :

$\alpha=0$
$ \alpha=-3$
$\alpha \in(-1,0)$
$\alpha \in(-3,-1]$

Solution

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