
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 $f(x)=x^{3}-3x^{2}-9x$, where $x\in(-2,2)$, determine the extreme values (maximum and minimum) of $f(x)$.

A) Maximum value is $5$, minimum value is $-27$
B) Maximum value is $5$, minimum value is $-11$
C) Maximum value is $5$, no minimum value
D) Minimum value is $-27$, no maximum value

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