
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
The number of correct operations among the given options is \left(x^{2}\cos x\right)'', \left(3^{x}\right)'', \left(\lg x\right)'', and \left( \frac{e^{x}}{x}\right)'' is

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