
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 $$f(x)=2alnx+ \frac {lnx}{x}$$.

1. Find the extreme values of $f(x)$ when $$a=- \frac {1}{2}$$.
2. Find the range of real values of $a$ such that $f(x)$ is strictly increasing on its domain.

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