April 23

Section 4.2.  Maximum and Minimum Values

objective:

• to be able to find absolute and local extrema algebraically and with a graphing calculator

• absolute maximum and minimum at x = c
• maximum and minimum values
• extreme values
• local maximum and minimum
• extreme value theorem
• Fermat's theorem
• critical number

solved problems - using key ideas

• understanding terminology, #1
• stating local maximum and minimum values from graph, definitions 1 and 2, #5
• sketching graphs with given conditions, definition of extreme values, #7
• continuity and differentiability, #11
• finding absolute and local extrema, #15,18,19,21
• finding critical numbers, definition 5, #26,31,34
• finding absolute extrema, #41,45
• using graphing calculator to estimate extrema, #49
• modeling, #54

group work
none

announcements
Homework. #2,6,10,12,28,40,48
 
 
 
 
 
 

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SOLUTION

SOLUTION.