
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 the curve $y = \frac{1}{3}x^3$ and a point $P(2, \frac{8}{3})$ on it.

(1) Find the slope of the tangent line to the curve at point $P$.
(2) Find the equation of the tangent line to the curve at point $P$.

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