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Business Calculus: Functions, Graphs, and Models – Comprehensive Study Notes

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Introduction to Limits

  • Percorso guidato
    Cases Where Limits Do Not Exist Example 2
    03:33
  • Percorso guidato
    Cases Where Limits Do Not Exist
    03:07
  • Percorso guidato
    Finding Limits Numerically and Graphically
    06:47

Finding Limits Algebraically

  • Percorso guidato
    Finding Limits by Direct Substitution Example 1
    01:56
  • Percorso guidato
    Limits of Rational Functions with Radicals
    06:13
  • Percorso guidato
    Limits of Rational Functions: Denominator = 0 Example 1
    03:17

Continuity

  • Percorso guidato
    Determine Continuity Algebraically Example 4
    05:33
  • Percorso guidato
    Determine Continuity Algebraically Example 3
    02:10
  • Percorso guidato
    Intro to Continuity Example 2
    00:57

Tangent Lines and Derivatives

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

Derivatives as Functions

  • Derivatives
    05:44

Basic Rules of Differentiation

  • Percorso guidato
    The Power Rule: Negative & Rational Exponents Example 1
    03:37
  • Percorso guidato
    The Power Rule: Negative & Rational Exponents Example 4
    03:31
  • Percorso guidato
    The Power Rule
    04:02

Product and Quotient Rules

  • Percorso guidato
    The Product Rule Example 1
    04:21
  • Percorso guidato
    The Quotient Rule Example 4
    05:50
  • Percorso guidato
    The Product Rule
    05:18

The Chain Rule

  • Percorso guidato
    Intro to the Chain Rule Example 1
    07:01
  • Percorso guidato
    Intro to the Chain Rule Example 2
    07:39
  • Percorso guidato
    Intro to the Chain Rule
    05:02

Derivatives of Exponential & Logarithmic Functions

  • Percorso guidato
    Derivatives of General Logarithmic Functions Example 4
    05:39
  • Percorso guidato
    Derivative of the Natural Logarithmic Function Example 5
    04:39
  • Percorso guidato
    Derivatives of General Logarithmic Functions
    06:32

Logarithmic Differentiation

  • Percorso guidato
    Logarithmic Differentiation Example 1
    02:27
  • Percorso guidato
    Logarithmic Differentiation
    06:30

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