Day 40 - Increasing/Decreasing Functions - 03.10.15

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
    • Parent-Teacher Conferences will be on Friday!
    • Questions on previous Checkpoints?
    Questions
    Bell Ringer

    1. Rolle’s Theorem

    1. Mean Value Theorem

    1. Mean Value Theorem

    1. 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
    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
    1. Determine intervals on which a function is increasing or decreasing.
    2. Apply the First Derivative Test to find relative extrema of a function.

          In-Class Help Requests

          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