The minimum value of the twice differentiable function \( f(x) \) \( =\int_{0}^{x} e^{x-t} f^{\p...

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The minimum value of the twice differentiable function \( f(x) \) \( =\int_{0}^{x} e^{x-t} f^{\prime}(t) d t-\left(x^{2}-x+1\right) e^{x}, x \in R \), is
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