
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
Let \\(f(x)=e^{x}(ax^{2}+3)\\), where \\(a\\) is a real number.  
\\((1)\\) When \\(a=-1\\), find the extremum of \\(f(x)\\);  
\\((2)\\) If \\(f(x)\\) is a monotonic function on the interval \\([1,2]\\), find the range of \\(a\\).

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