
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 $f(x)= C_{ n }^{ 0 }x^{2n-1}- C_{ n }^{ 1 }x^{2n}+ C_{ n }^{ 2 }x^{2n+1}-\ldots+ C_{ n }^{ r }(-1)^{r}\cdot x^{2n-1+r}+\ldots+ C_{ n }^{ n }(-1)^{n}\cdot x^{3n-1}$, where $n\in\mathbb{N}^{*}$, then $f'(1)=$ \_\_\_\_\_\_ .

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