
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 functions $f(x)=\ln x$ and $g(x)=x-\frac{1}{x}$.
1. Find the extreme values of the function $\phi(x)=\frac{5}{4}f(x)-\frac{1}{2}g(x)$.
2. If $f(x) \leq \lambda g(x)$ holds true for all $x \geq 1$, find the minimum value of $\lambda$.

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