Mathematics · 2022
JEE Main · 25 July 2022, Shift 1 · Q6
If the absolute maximum value of the function f(x)=(x^2-2 x+7) e^(4 x^3-12 x^2-180 x+31) in the interval [-3,0] is f(α), then:
If the absolute maximum value of the function $\displaystyle f(x)=\left(x^2-2 x+7\right) \mathrm{e}^{\left(4 x^3-12 x^2-180 x+31\right)}$ in the interval $\displaystyle [-3,0]$ is $\displaystyle f(\alpha)$, then :
Official answer
(2)
$\displaystyle \alpha=-3$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.