Updates Summative Exam 1 on Friday!
Bell Ringer
Extrema Which of the following matches the interval notation of [1, 3]? 1 < x < 3 1 > x > 3 1 ≤ x ≤ 3 1 ≥ x ≥ 3 none of the above
Solve the following: 6x3  6x2 = 0 0 1 1 both a and c none of the above
Find the maxima or minima of the following: x2  4x + 5 on the interval [1, 3] (2, 1) (2, 1) (0, 1) (2, 0) none of the above
Find any local (relative) maxima or minima of the following: 2x3  9x2 + 12x  2 on the interval [1, 3] (1, 3) (2, 2) (2, 2) both a and c none of the above
Find the maxima or minima of the following: f(x) = x + 3 (3, 0) (0, 3) (3, 0) (0, 3)  none of the above
Review Prerequisites
 Interval Notation
 Maxima/Minima
 Zero Product Property
 Finding Minima/Maxima Graphically
Lesson Extrema
 Definition
 Extreme Value Theorem
 Absolute vs. Relative Extrema
 Critical Numbers
 Testing for Critical Numbers
 Finding Extrema
 Checkpoints
 A  page 169 #4
 B  page 169 #6
 C  page 169 #18
 D  page 169 #22
 E  page 169 #34
 Summative Exam 1 Questions
Exit Ticket Posted on the board at the end of the block.
 Lesson Objective(s) How can derivatives be used to find the minimum and maximum values of a function?
Standard(s)  #1  Make sense of problems and persevere in solving them
 #2  Reason abstractly and quantitatively
 #3  Construct viable arguments and critique the reasoning of others
 #5  Use appropriate tools strategically
 #6  Attend to precision
 #7  Look for and make use of structure
 #8  Look for and express regularity in repeated reasoning
