
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.

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

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