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Calculus Study Notes: Limits, Continuity, Differentiation, and Applications

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Introduction to Limits

  • Cases Where Limits Do Not Exist Example 2
    03:33
  • Finding Limits Numerically and Graphically
    6:47
  • Cases Where Limits Do Not Exist
    03:07

Finding Limits Algebraically

  • Limits of Rational Functions with Radicals
    06:13
  • Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Limits of Rational Functions with Radicals Example 3
    02:54

Continuity

  • Intro to Continuity
    05:34
  • Intro to Continuity Example 2
    00:57
  • Determine Continuity Algebraically
    05:25

Tangent Lines and Derivatives

  • 가이드 코스
    Slopes of Tangent Lines
    05:13
  • 가이드 코스
    Determine Continuity Algebraically Example 1
    05:10
  • 가이드 코스
    Equations of Tangent Lines
    05:14

Derivatives as Functions

  • 가이드 코스
    Derivatives
    05:44

Basic Rules of Differentiation

  • The Power Rule: Negative & Rational Exponents
    04:09
  • The Power Rule: Negative & Rational Exponents Example 1
    03:37
  • The Power Rule
    04:02

Higher Order Derivatives

  • Higher Order Derivatives
    02:42
  • Higher Order Derivatives Example 1
    02:02
  • Higher Order Derivatives Example 2
    02:23

The Chain Rule

  • Intro to the Chain Rule Example 2
    07:39
  • Intro to the Chain Rule Example 3
    03:52
  • Intro to the Chain Rule Example 1
    07:01

Implicit Differentiation

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

Linearization

  • 가이드 코스
    Linearization
    07:17

Differentials

  • 가이드 코스
    Finding Differentials
    05:53
  • 가이드 코스
    Determining Error and Relative Error
    04:57
  • 가이드 코스
    Determining Error and Relative Error Example 1
    04:46

Intro to Extrema

  • Finding Extrema Graphically Example 1
    04:45
  • Finding Extrema Graphically Example 2
    02:46
  • Finding Extrema Graphically
    05:58

The First Derivative Test

  • The First Derivative Test: Finding Local Extrema Example 3
    11:22
  • The First Derivative Test: Finding Local Extrema Example 2
    04:00
  • The First Derivative Test: Finding Local Extrema Example 4
    05:00

Concavity

  • Determining Concavity Given a Function Example 3
    02:33
  • Determining Concavity from the Graph of f' or f''
    03:56
  • Determining Concavity Given A Function Example 2
    6:08

The Second Derivative Test

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

Applied Optimization

  • Intro to Applied Optimization: Maximizing Area
    10:13
  • Example 5: Packaging Design
    08:29
  • Example 4: Norman Window
    13:49