Determine the intervals a function is increasing and decreasing and extrema using

The video tutorial explains how to determine the critical values of a function by finding its derivative and setting it to zero. It emphasizes the importance of testing intervals to identify where the function is increasing or decreasing. The tutorial also discusses how to identify relative maxima and minima by analyzing changes in the sign of the derivative.

What is the significance of the zero product property in finding critical values?

What does it mean when the derivative is positive or negative in terms of the function's behavior?

How do you determine the relative maximum and minimum from the critical values?