
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 that $x=2$ is an extreme point of the function $f(x)=(x^{2}+ax-2a-3)e^{x}$ ($e=2.718...$), find the value of the real number $a$, and find the maximum and minimum values of the function $f(x)$ on the interval $x\in[\frac{3}{2},3]$.

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