
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 $f(x)=e^{x}(ax+b)-x^{2}-4x$, the tangent line equation of the curve $y=f(x)$ at the point $(0,f(0))$ is $y=4x+4$.

(1) Find the values of $a$ and $b$.
(2) Discuss the monotonic intervals of the function $f(x)$, and find the extreme values of the function $f(x)$.

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