
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 $f(x)=2x^{3}-3ax^{2}$, where $a\in R$.
(1) If $a=2$, find the equation of the tangent line to the curve $f(x)$ at $x=1$;
(2) For any $x\_1\in[0,2]$, there always exists $x\_2\in[0,1]$ such that $f(x\_1)\geqslant f'(x\_2)$ (where $f'(x)$ is the derivative of the function $f(x)$). Find the range of values for the real number $a$.

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