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.

What is the first step in finding critical numbers for a function?

• Identifying the maximum value

• Setting the function equal to zero

• Finding the second derivative

• Rewriting the function in a simpler form

When can critical numbers occur according to the video?

• Only when the derivative equals zero

• When the derivative is undefined or equals zero

• Only at the endpoints

• When the function is continuous

What does the video suggest about critical numbers and extrema?

• Critical numbers may not always provide extrema

• Critical numbers never lead to extrema

• Critical numbers always lead to extrema

• Extrema are unrelated to critical numbers

How is the cube root of a negative number evaluated in the video?

• As an undefined value

• As a negative number

• As zero

• As a positive number

What is the significance of endpoints in the context of the video?

• They are irrelevant to finding critical numbers

• They are only important for continuous functions

• They are used to determine the range of the function

• They are considered when evaluating the function for extrema