
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 that point $P$ is any point on the graph of the function $y=e^{x}-e^{-x}-3x(- \frac {1}{2}\leqslant x\leqslant \frac {1}{2})$, and the angle of inclination of the tangent at point $P$ is $α$, find the minimum value of $α$.

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