How to apply the evt to a cube root function along a closed interval

The video tutorial discusses differentiability on closed intervals, rewriting functions, and finding critical numbers. It explains that critical numbers occur when the derivative is zero or undefined. The tutorial also covers endpoints and extrema, emphasizing that critical numbers do not always provide extrema.

Explain the process of determining whether a function is differentiable on a closed interval.

What is the significance of finding critical numbers in a function?

What does it mean for a critical number to be undefined, and how does it affect the analysis of a function?

How do you find the endpoints of a function, and why are they important?

Discuss the relationship between critical numbers and extrema in the context of this function.