
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 $f(x)=2m^{2}x^{2}+4mx-3\ln x$, where $m\in\mathbb{R}$
(1) If $x=1$ is the extreme point of $f(x)$, find the value of $m$;
(2) Find the monotonic intervals and extreme values of the function $f(x)$.

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