
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  $f$  be a differentiable real-valued function defined on the positive real numbers. The tangent lines to the graph of  $f$  always meet the  $y$ -axis 1 unit lower than where they meet the function. If  $f(1)=0$ , what is  $f(2)$ ?

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