
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
Consider the curve $y=\frac{1}{e^{x}}$ for $x>0$. Let $l$ be the tangent line to the curve at $x=t$, which intersects the $x$-axis at point $M$ and the $y$-axis at point $N$. Denote the area of triangle $MON$ as $S(t)$.

(1) Find the equation of the tangent line $l$;

(2) Find an expression for $S(t)$.

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