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Chapter 2: Exponential and Logarithmic Functions – Calculus and Its Applications

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Exponential Functions

  • Exponential Functions
    6:13
  • The Number e
    4:47
  • Graphs of Exponential Functions
    5:46

Logarithmic Functions

  • Logarithms Introduction
    7:30
  • The Natural Log
    2:51
  • Graphs of Logarithmic Functions
    5:26

Properties of Logarithms

  • Product, Quotient, and Power Rules of Logs
    3:49
  • Evaluate Logarithms
    5:14
  • Expand & Condense Log Expressions
    4:22

Exponential & Logarithmic Equations

  • Solving Exponential Equations Using Like Bases
    4:46
  • Solving Logarithmic Equations
    5:02
  • Solving Exponential Equations Using Logs
    5:47

Derivatives of Exponential & Logarithmic Functions

  • Derivatives of General Logarithmic Functions
    06:32
  • Derivative of the Natural Logarithmic Function
    05:18
  • Derivative of the Natural Exponential Function (e^x) Example 3
    02:38

Basics of Differential Equations

  • Verifying Solutions of Differential Equations Example 1
    03:17
  • Solutions to Basic Differential Equations Example 7
    02:50
  • Verifying Solutions of Differential Equations
    05:09

Separable Differential Equations

  • Newton's Law of Cooling
    10:44
  • Separation of Variables Example 1
    05:28
  • Solving Separable Differential Equations Example 2
    04:55