
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 $f(x) = \sqrt{2}\cos(x + \frac{\pi}{4})$, after the graph of $f(x)$ is translated by the vector $\vec{v} = (m, 0)$ ($m > 0$), the resultant graph is exactly the graph of the function $y=f'(x)$. Find the minimum value of $m$.

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