
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.

\[ y = (3x + 1)^{4} \arcsin \frac{1}{3x + 1} + (3x^2 + 2x + 1) \sqrt{9x^2 + 6x}, \quad 3x + 1 > 0 \]

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