
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
If the temperature of the crude oil (in degrees Celsius) at the $x$th hour is given by $f(x)= \frac {1}{3}x^{3}-x^{2}+8$ where $0 \leq x \leq 5$, find the minimum value of the instantaneous rate of change of the crude oil temperature.

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