
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
First, find the derivative of the following functions and calculate the derivative at \\(x=\pi\\).

\\((1) f(x)=(1+\sin x)(1-4x)\\)    \\((2) f(x)=\ln (x+1)-\dfrac{x}{x+1}\\).

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