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
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
but eliminate
Evaluate the remaining candidates:
Recall that maxima and minima are
Therefore the global maximum is
Confirm this by sketching