
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
Given the even function $f(x) = x(e^x - ae^{-x})$, find the slope of the tangent line to the graph of the function at $x = 1$. The options are:
A) $2e$
B) $e$
C) $\frac{2}{e}$
D) $e + \frac{1}{e}$

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