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1 votes
1 votes
$\begin{align*} &y = e^{-x}(x^2+x+1) \\ &{y}' = e^{-x}(x^2+3x+2) \\ & \text{put x = 0} \\ &=> {y}' = 2 \ \ \ (\text{ slope}) \end{align*}$

Only option B satisfying this

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