
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 $f(x)= \frac{3x^{2}+mx}{e^{x}}$ where $m\in\mathbb{R}$.
(1) Find the value of the real number $m$ such that $f(x)$ attains an extreme value at $x=0$, and determine whether $f(0)$ is a maximum or minimum value.
(2) Find the range of values for the real number $m$ such that $f(x)$ is monotonically decreasing on the interval $[3,+\infty)$.

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