JEE Math Practice 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 :
- A.$$\alpha=0$$
- B.$$ \alpha=-3$$
- C.$$\alpha \in(-1,0)$$
- D.$$\alpha \in(-3,-1]$$
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