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
First Derivative Test
First Derivative Test
Points of Inflection
Concavity
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.
 Increasing/Decreasing Functions (video)
 How can the first derivative to determine whether a function is increasing or decreasing?
 Determine intervals on which a function is increasing or decreasing.
 Apply the First Derivative Test to find relative extrema of a function.
Lesson Concavity and Inflection Points (video)
Exit Ticket
 Posted on the board at the end of the block
 Lesson Objective(s)
 How can the second derivative be used to determine the concavity of intervals of a function? (video)
Skills
 Determine intervals on which a function in concave upward or downward.
 Apply the Second Derivative Test to find inflection points 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
 Increasing and Decreasing Functions
