
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 function $f(x)= \frac {1}{e^{x}}+a\ln x$ $(a\in\mathbb{R})$.  
(I) When $a= \frac {1}{e}$, find the equation of the tangent line to the curve $y=f(x)$ at $(1,f(1))$.  
(II) If the function $f(x)$ is not monotonic within its domain, find the range of values for $a$.

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