### Home > CALC > Chapter 5 > Lesson 5.5.1 > Problem 5-154

Without using a graphing calculator, find the maximum and minimum values of the function on the interval

Candidates for global maxima and global minima exist where the derivative equals

Evaluate the endpoints:

These might be the global min and max, respectively. We still need to check the other candidates.

Find additional candidates by setting the derivative equal to zero, and solving for .

*,*

*and*

*are candidates...*

but eliminate

*because it is not within the given domain.*

Evaluate the remaining candidates: ,

Recall that maxima and minima are -values.

Therefore the global maximum is

Confirm this by sketching

*on your graphing calculator.*