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Applications of Differentiation: Extrema, Concavity, Optimization, and Related Rates

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Intro to Extrema

  • Percorso guidato
    Finding Extrema Graphically
    05:58
  • Percorso guidato
    Finding Extrema Graphically Example 1
    04:45
  • Percorso guidato
    Finding Extrema Graphically Example 3
    03:22

The First Derivative Test

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

Concavity

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

The Second Derivative Test

  • Percorso guidato
    The Second Derivative Test: Finding Local Extrema Example 1
    05:34
  • Percorso guidato
    The Second Derivative Test: Finding Local Extrema
    06:02

Curve Sketching

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

Finding Global Extrema

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

Applied Optimization

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

Differentials

  • Finding Differentials Example 1
    02:23
  • Determining Error and Relative Error Example 1
    04:46
  • Finding Differentials
    05:53

Linearization

  • Linearization
    07:17

Implicit Differentiation

  • Finding The Implicit Derivative Example 1
    09:16
  • Finding The Implicit Derivative
    05:14

Related Rates

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