Determine the extrema using the end points of a closed interval

The video tutorial covers the process of finding the derivative of a function, identifying critical numbers, and determining the absolute maximum and minimum values on a closed interval. It emphasizes the importance of checking endpoints when no critical numbers are present and reviews the concept of critical numbers in calculus.

What is the first step in finding the derivative of a function?

• Set the function equal to zero

• Identify the closed interval

• Differentiate the function

• Find the critical numbers

How do you determine critical numbers of a function?

• By setting the derivative equal to zero

• By finding the endpoints

• By checking the maximum value

• By evaluating the function at zero

What should you do if there are no critical numbers?

• Ignore the function

• Check the endpoints for max and min values

• Set the function to zero

• Find the derivative again

What is the significance of evaluating a function at its endpoints?

• To check for differentiability

• To determine the absolute maximum and minimum values

• To solve for zero

• To find the critical numbers

What is the absolute minimum value found in the given interval?

• -1

• 0

• 65

• 2