
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
Let $f(x) = \frac {1}{2}mx^{2}-2x+\ln(x+1)$ where $m \in \mathbb{R}$.
(Ⅰ) Determine whether $x = 1$ can be an extremum of $f(x)$ and explain why.
(Ⅱ) If there exists an $m \in [-4, -1)$ such that the function $g(x) = f(x) - \ln(x+1) + x^3$ defined on $[1, t]$ attains its maximum value at $x=1$, find the maximum value of the real number $t$.

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