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Application of Derivatives question

2022 · 25 Jul · Shift 1 · Q26
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  5. /2022 · 25 Jul · Shift 1 · Q26

Application of Derivatives question

2022 · 25 Jul · Shift 1 · Q26

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
If the absolute maximum value of the function f(x)=(x2−2x+7)e(4x3−12x2−180x+31)f(x)=\left(x^{2}-2 x+7\right) \mathrm{e}^{\left(4 x^{3}-12 x^{2}-180 x+31\right)}f(x)=(x2−2x+7)e(4x3−12x2−180x+31) in the interval [−3,0][-3,0][−3,0] is f(α)f(\alpha)f(α), then :
  1. A
    α=0\alpha=0α=0
  2. B
    α=−3\alpha=-3α=−3
  3. C
    α∈(−1,0)\alpha \in(-1,0)α∈(−1,0)
  4. D
    α∈(−3,−1]\alpha \in(-3,-1]α∈(−3,−1]
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