
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 cubic function $f(x)=ax^{3}+bx^{2}+cx+d (a\neq 0)$, the definition of an inflection point is provided. Let $f'(x)$ be the derivative of the function $y=f(x)$, and $f''(x)$ be the derivative of $f'(x)$. If the equation $f''(x)=0$ has a real number solution $x_{0}$, then the point $(x_{0},f(x_{0}))$ is called the "inflection point" of the function $y=f(x)$. A student discovered that every cubic function has an inflection point, and this inflection point is the center of symmetry for the function. If $f(x)= \frac {1}{3}x^{3}- \frac {1}{2}x^{2}+2x+ \frac {1}{12}$, using this discovery,

(1) Find the center of symmetry for the cubic function $f(x)= \frac {1}{3}x^{3}- \frac {1}{2}x^{2}+2x+ \frac {1}{12}$;

(2) Calculate $f( \frac {1}{2017})+f( \frac {2}{2017})+f( \frac {3}{2017})+…+f( \frac {2016}{2017})$.

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