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Applications of Differentiation: Extrema, Concavity, Optimization, and Elasticity

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The First Derivative Test

  • Guided course
    Determining Where a Function is Increasing & Decreasing Example 3
    02:10
  • Guided course
    The First Derivative Test: Finding Local Extrema
    07:09
  • Guided course
    Critical Points Example 2
    01:47

Concavity

  • Guided course
    Determining Concavity from the Graph of f' or f''
    03:56
  • Guided course
    Determining Concavity Given A Function Example 2
    06:08
  • Guided course
    Determining Concavity from the Graph of f
    06:38

The Second Derivative Test

  • Guided course
    The Second Derivative Test: Finding Local Extrema Example 1
    05:34
  • Guided course
    The Second Derivative Test: Finding Local Extrema
    06:02

Curve Sketching

  • Guided course
    Summary of Curve Sketching Example 3
    06:22
  • Guided course
    Summary of Curve Sketching Example 1
    13:20
  • Guided course
    Summary of Curve Sketching Example 2
    12:57

Finding Global Extrema

  • Guided course
    Finding Global Extrema (Extreme Value Theorem) Example 2
    04:19
  • Guided course
    Finding Global Extrema (Extreme Value Theorem) Example 3
    03:53
  • Guided course
    Finding Global Extrema (Extreme Value Theorem)
    05:12

Applied Optimization

  • Guided course
    Example 1: Minimizing Surface Area
    09:07
  • Guided course
    Intro to Applied Optimization: Maximizing Area
    10:13
  • Guided course
    Example 3: Maximizing Profit
    07:32

Related Rates

  • Intro To Related Rates
    04:16
  • Changing Geometries
    06:35
  • Real World Application
    06:16