
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 of \\(x\\), \\(g(x)= \dfrac {2}{x}-a\ln x(a\in\mathbb{R})\\), and \\(f(x)=x^{2}g(x)\\).  
\\((1)\\) When \\(a=-2\\), find the intervals of monotonicity for the function \\(g(x)\\);  
\\((2)\\) If \\(f(x)\\) has exactly one extremum in the interval \\(( \dfrac {1}{e},e)\\), determine the range of values for \\(a\\).

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