
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 function \( z = \arcsin \frac{y}{x^{2}} \), the point \( A(-2,-1) \), and the vector \( \vec{a} = 3 \vec{i} - 4 \vec{j} \). Find:

1) \( \overrightarrow{\operatorname{grad}} z \) at point \( A \);
2) the derivative at point \( A \) in the direction of vector \( \vec{a} \).

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