The minimum value of the twice differentiable function f(x) = _ 0 ^ x e^ x-t f'(t)dt - (x^ 2 - x + 1)e^ x , x R, is

JEE Main 2022 Mathematics question

The minimum value of the twice differentiable function , x R, is

Answer: (A)

Write , so . Differentiating: $'(x) - = '(x)

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Question ID VK-034795