
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 $f(x)= \frac {ax^{2}+x}{x+1}-\ln (x+1)$ $(a > 0)$.  
(I) Discuss the monotonicity of the function $f(x)$;  
(II) When $a=1$, the inequality $f(x)\leqslant kx^{2}$ holds for all $x\in[0,+\infty)$. Find the range of values for $k$.

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