
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 $f(x)=A\sin (ωx+φ)(A > 0,ω > 0,|φ| < π)$, in the same period, when $x= \frac {π}{12}$, $f(x)$ reaches its maximum value of $3$; when $x= \frac {7π}{12}$, $f(x)$ reaches its minimum value of $-3$.

1. Find the analytical expression of the function $f(x)$;
2. Find the monotonically decreasing interval of the function $f(x)$.

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