
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 $f'(x)$ is the derivative of $f(x)$, denote $f^{(1)}(x) = f'(x)$, $f^{(n)}(x) = (f^{(n-1)}(x))'$ ($n \in \mathbb{N}, n \geq 2$), the following four conclusions are given:  
1. If $f(x) = x^n$, then $f^{(5)}(1) = 120$;  
2. If $f(x) = \cos x$, then $f^{(4)}(x) = f(x)$;  
3. If $f(x) = e^x$, then $f^{(n)}(x) = f(x)$ ($n \in \mathbb{N}^+$);  
4. Let $f(x)$, $g(x)$, $f^{(n)}(x)$, and $g^{(n)}(x)$ ($n \in \mathbb{N}^+$) be differentiable functions on the same domain, $h(x) = f(x) \cdot g(x)$, then $h^{(n)}(x) = f^{(n)}(x) \cdot g^{(n)}(x)$ ($n \in \mathbb{N}^+$).  
The correct conclusions are (multiple choices, underfilling, overfilling, or wrong filling all score zero).

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