Update  Unit 3 Test on 3/27!
 If you are leaving for spring break early, please make arrangements with me to take the test before break!
 Last Week to Retake Unit 2 Test
 ParentTeacher Conferences will be on Friday!
 Questions on previous Checkpoints?
Questions
Bell Ringer
Rolle’s Theorem
Mean Value Theorem
Mean Value Theorem
Increasing and Decreasing Functions
Review
 Extrema/Critical Numbers (video)
 How is the derivative used to locate the minimum and maximum values of a function on a closed interval?
 Find critical numbers using differentiation.
 Find extrema on a closed interval using differentiation.
 Rolle's Theorem (video) and Mean Value Theorem (video)
 How are Rolle's Theorem and Mean Value Theorem related to differentiation?
 Apply understanding of Rolle’s Theorem and the Mean Value Theorem.
Lesson Increasing and Decreasing Functions
Exit Ticket
 Posted on the board at the end of the block
 Lesson Objective(s)
 Increasing/Decreasing Functions (video)
 How can the first derivative to determine whether a function is increasing or decreasing?
Skills  Determine intervals on which a function is increasing or decreasing.
 Apply the First Derivative Test to find relative extrema of a function.
Standard(s)
 APC.4
 Investigate asymptotic and unbounded behavior in functions.
 Includes:
 describing and understanding asymptotes in terms of graphical behavior and limits involving infinity
 APC.8
 Apply the derivative to solve problems.
 Includes:
 analysis of curves and the ideas of concavity and monotonicity
 optimization involving global and local extrema
Past Checkpoints  Extrema/Critical Numbers
 Rolle's Theorem and Mean Value Theorem
