
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
Let the function $f(x)= \frac {\sin \theta}{3}x^{3}+ \frac { \sqrt {3}\cos \theta}{2}x^{2}+\tan \theta$, where $\theta\in[0, \frac {5\pi}{12}]$, then the range of values for the derivative $f′(1)$ is ______.

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