
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 $f(x)=\ln (1+x)-x+ \frac {k}{2}x^{2}$ $(k\geqslant 0)$. When $k=2$, find the equation of the tangent line to the curve $y=f(x)$ at the point $(1,f(1))$.

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