
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 that $x=1$ is an extreme value point of the function $f(x)=2x+ \frac{b}{x}+\ln x$.
(I) Find the value of $b$;
(II) Let the function $g(x)=f(x)- \frac{3+a}{x}$. If the function $g(x)$ is monotonically increasing in the interval $[1,2]$, find the range of values for the real number $a$.

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