
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

Find the derivative.

$$
y=(2 x+3)^{4} \cdot \arcsin \frac{1}{2 x+3}+\frac{2}{3} \cdot\left(4 x^{2}+12 x+11\right) \cdot \sqrt{x^{2}+3 x+2}, 2 x+3>0
$$

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