
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 $f(x)=2\ln x+x^{2}-mx (m\in R)$.
(1) Find the range of the real number $m$ such that $f(x)$ is monotonically increasing in its domain;
(2) If $5 < m < \frac {17}{2}$, and $f(x)$ has two extreme points $x_{1}$, $x_{2} (x_{1} < x_{2})$, find the range of $f(x_{1})-f(x_{2})$.

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