
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The equation of the tangent line at point P(0, 2) on the curve $f(x) = xe^{-x} + 2$ is $y = mx + b$, where $m$ is the derivative of $f(x)$ evaluated at $x = 0$ and $b$ is the $y$-coordinate of point P. Given that $f'(x) = e^{-x} - xe^{-x}$, evaluate the derivative at $x = 0$ to find the slope of the tangent line and determine its equation.

Present the answer in LaTex format: \boxed{Your answer}
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