
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 $f(x)= \frac {1}{6}x^{3}+ \frac {1}{2}x-x\ln x$,
(Ⅰ) Find the equation of the tangent to the curve $y=f(x)$ at the point $(1,f(1))$;
(Ⅱ) If $f(x) < a$ holds for all $x \in \left( \frac {1}{e},e \right)$, find the minimum value of $a$.

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