
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
Find the derivative of the following functions:

$(1) y = \sin{\frac{\pi}{3}};$

$(2) y = 5^x;$

$(3) y = \frac{1}{x^3};$

$(4) y = \sqrt[4]{x^3};$

$(5) y = \log{x}.$

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