Day 67 - Integration using the Natural Logarithmic Function - 04.23.15

Update
  • Unit 5 Test, next Friday!

Questions

Bell Ringer
    1. none of the above

  1. Differentiate .

    1. none of the above

  2. Differentiate .

    1. both b and c

    2. none of the above

  3. Differentiate .

    1. none of the above

Review
  • Prerequisites
    • Derivatives
      • Derivative Rules
      • Power Rule
      • Constant Rule
      • Trig Derivatives
    • Logarithm Properties
  • Differentiation using the Natural Logarithmic Functions (video)

Lesson
  • Integration using the Natural  Logarithmic Function (video)
    • Checkpoints
    • Similar problems are in the book.
      • Section 5-2
        • Answer Guide is available by the books

      Exit Ticket
      1. Integration using the Natural Logarithmic Function

                      

      1. Integration using the Natural Logarithmic Function

      1. Integration using the Natural Logarithmic Function

      1. Integration using the Natural Logarithmic Function

      1. Integration using the Natural Logarithmic Function

                                      

      Lesson Objective(s)
      • How can the derivative of natural logarithmic functions be calculated?
      Skills
          1. Explain why the power rule does not work when integrating 1/x.
          2. Calculate the derivative of the natural logarithmic function.

                                                          In-Class Help Requests



                                                          Standard(s)
                                                          • APC.9
                                                            • Apply formulas to find derivatives.
                                                              • Includes:
                                                                • derivatives of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions
                                                                • derivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functions
                                                                • derivatives of implicitly defined functions
                                                                • higher order derivatives of algebraic, trigonometric, exponential, and logarithmic, functions