
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
Use the definition of the derivative to find the derivative of the function $y=f(x)= \dfrac {2}{x}+x$ at the following points:  
$(1)x=1$;  
$(2)x=-2$;  
$(3)x=x_{0}$.

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