
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 of the scalar field \( u = x z^{2} + 2 y z \) at the point \( M_{0}(1,0,2) \) along the curve described by

\[
\left\{
\begin{array}{l}
x = 1 + \cos t \\
y = \sin t - 1 \\
z = 2
\end{array}
\right.
\]

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