Updates Unit 3 Test this Friday, 10/24!
Bell Ringer
Which formula should be differentiated? Perimeter Area Surface Area Volume none of the above
What overall dimensions should be used to maximize the enclosed area? 20 ft x 20 ft 53.3 ft x 20 ft 26.7 ft x 20 ft 53.3 ft x 40 ft none of the above
What is the maximum area possible? 400 ft2 533.3 ft2 800 ft2 1066.7 ft2  none of the above
Review Lesson Optimization
 Find two positive numbers that have a product of 100 and the sum is a minimum.
 Find the length and width of a rectangle that has a perimeter of 100 feet and a maximum area.
Exit Ticket Posted at the end of the block.
 Lesson Objective(s) How can derivatives be used to find optimum conditions?
Standard(s)  #1  Make sense of problems and persevere in solving them
 #2  Reason abstractly and quantitatively
 #5  Use appropriate tools strategically
 #6  Attend to precision
 #8  Look for and express regularity in repeated reasoning
Past Checkpoints  Extrema (page 169)
 A  #4
 B  #6
 C  #18
 D  #22
 E  #34
 Rolle's Theorem (page 176)
 Mean Value Theorem (page 176177)
 Increasing/Decreasing Functions (page 186)
 L  #6
 M  #20
 N  #44
 O  #48
 Concavity and Points of Inflection (page 195)
 P  #6
 Q  #16
R  #18 S  #20
 T  #24
U  #32 V  #38
 W  #52
 Limits at Infinity
