
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 $f(x) = e^{2x} \cdot \cos{3x}$.

(1) Find $f'(x)$.

(2) If $m= \int_{0}^{2\pi} \sin{x} \, dx$, find the equation of the tangent line to the curve $y=f(x)$ at the point $(m, f(m))$.

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