
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
Determine the increments of the function $z=xy$ when $x$ and $y$ change from the point $M_{0}(1,2)$ to the points: $M_{1}(1,1 ; 2)$, $M_{2}(1 ; 1.9)$, $M_{3}(1,1 ; 2.2)$.

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