
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
Assuming point P(2, 6) is on the curve $y = x^2 + x$, and a neighboring point Q(2 + \Delta x, 6 + \Delta y) is also on the curve, calculate the value of $\frac{\Delta y}{\Delta x}$.

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