
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
A function $f(x)$ and a function $g(x)$ are defined on the set of real numbers as follows: $f(x)=x^{2}+x$ and $g(x)= \frac {1}{3}x^{3}-2x+m$.
(1) Find the equation of the tangent line to the graph of $f(x)$ at $x=1$.
(2) If $f(x)\geqslant g(x)$ holds for any $x\in[-4,4]$, find the range of the real number $m$.

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