
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 $f(x)=x^{3}+bx^{2}+(b+3)x$, it takes an extreme value at $x=1$.
(1) Find the value of $b$ and the minimum value of $f(x)$ in the interval $[-1,1]$.
(2) If the function $g(x)=f(x)-mx$ is a decreasing function in the interval $[-2,2]$, find the range of values for the real number $m$.

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