Determine the extrema using EVT of a rational function

The video tutorial explains the product rule in calculus, demonstrating how to find critical values by setting the function to zero or identifying when it is non-differentiable. It discusses the extreme value theorem by testing endpoints and critical values, and analyzes when the function becomes undefined, emphasizing the importance of critical values.

What is the product rule as mentioned in the text?

How do you find the critical value of a function?

What happens when you set the function equal to zero?

Why is the value of 2 considered a critical value but not within the closed interval?

What is the significance of the denominator being equal to zero in the context of critical values?