
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 A, B, and C are three points on line $l$, and the vectors $\overrightarrow{OA}$, $\overrightarrow{OB}$, $\overrightarrow{OC}$ satisfy $\overrightarrow{OA}=[f(x)+2f'(1)x] \overrightarrow{OB}-\ln x\cdot \overrightarrow{OC}$, find the expression for the function $y=f(x)$.

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