
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
Using the definition of the derivative, find the derivatives of the following functions:
1) \( y = 3x + 5 \)
2) \( f(x) = \frac{1}{x} \) at the point \( x = 2 \)
3) \( f(x) = \sin(2x - 3) \) at the point \( x = 1 \)

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