
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
(1) Let the function $f(x)= \frac {\sin θ}{3}x^{3}+ \frac { \sqrt {3}\cos θ}{2}x^{2}+\tan θ$, where $θ∈[0, \frac {5}{12}π]$, find the range of values for the derivative $f′(1)$;  
(2) If the curve $y=ax^{2}(a > 0)$ and the curve $y=\ln x$ have a common tangent line at their common point $P(s,t)$, find the equation of the common tangent line.

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