Updates Summative Exam 1 on Friday!
 New Remediation Rules
 If you don't make a request, you won't be allowed to remediate or reassess.
 Use your notes to make test corrections
 Complete similar problems to the problems you lost points on
 Write what you did wrong on each problem
Bell Ringer
Extrema
Find the value of the derivative (if it exists) of the function f(x) = 15  x at point (0, 15). 0 does not exist 15 15 none of the above
Find all of the critical numbers for f(x) = (9  x2)⅗. 3, 0, 3 3 3, 3 0 none of the above
Find the derivative of the function f(x) = x2 / (x2 + 64) at point (0, 0). 0 1 1 1/9 1/9
Locate the absolute extrema of the function f(x) = 2x2 + 12x  4 on the closed interval [6, 6]. no absolute max; absolute min: f(6) = 140 absolute max: f(3) = 22; absolute min: f(6) = 140 absolute max: f(6) = 140; no absolute min absolute max: f(6) = 140; absolute min: f(3) = 22  no absolute max or min
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 extreme 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
