
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
Using the definitions of the left-hand and right-hand derivatives of the function \( f(x) \) at the point \( x_{0} \), find them for

$$
f(x)=\sqrt{1-e^{-x^{2}}} \text{ and } x_{0}=0.
$$

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