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Business Calculus Study Guide: Exponential Growth, Decay, Derivatives, and Optimization

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Exponential Functions

  • Percorso guidato
    Graphs of Exponential Functions
    5:46
  • Percorso guidato
    Graphing Exponential Functions Example 1
    3:58
  • Percorso guidato
    The Number e
    4:47

Logarithmic Functions

  • Percorso guidato
    Graphs of Logarithmic Functions
    5:26
  • Percorso guidato
    Graphing Logarithmic Functions Example 1
    4:30
  • Percorso guidato
    The Natural Log
    2:51

Properties of Logarithms

  • Percorso guidato
    Product, Quotient, and Power Rules of Logs
    3:49
  • Percorso guidato
    Expand & Condense Log Expressions
    4:22
  • Percorso guidato
    Change of Base Property
    05:36

Exponential & Logarithmic Equations

  • Percorso guidato
    Solving Exponential Equations Using Logs
    5:47
  • Percorso guidato
    Solving Logarithmic Equation
    5:02
  • Percorso guidato
    Solving Exponential Equations Using Like Bases
    04:46

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

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

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

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