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Precalculus Study Guide: Derivatives, Extrema, and Applications

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Intro to Functions & Their Graphs

  • Finding the Domain and Range of a Graph
    5:10
  • Verifying if Equations are Functions
    5:38
  • Relations and Functions
    5:20

Common Functions

  • Graphs of Common Functions
    5:57

Function Operations

  • Multiplying & Dividing Functions
    7:24
  • Adding & Subtracting Functions Example 1
    4:46
  • Adding & Subtracting Functions
    5:56

Function Composition

  • Decomposition of Functions
    4:07
  • Function Composition
    4:56
  • Domain Restrictions of Composed Functions
    3:51

Quadratic Functions

  • Guided course
    Properties of Parabolas
    07:42
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 1
    07:11

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42
  • Guided course
    End Behavior of Polynomial Functions
    06:08

Graphing Polynomial Functions

  • Guided course
    Graphing Polynomial Functions
    05:25
  • Guided course
    Identifying Intervals of Unknown Behavior
    05:01
  • Guided course
    Example 1
    09:43

Intro to Quadratic Equations

  • Guided course
    Introduction to Quadratic Equations
    05:35
  • Guided course
    Solving Quadratic Equations by Factoring
    06:08

The Square Root Property

  • Guided course
    Solving Quadratic Equations by the Square Root Property
    06:12
  • Guided course
    Imaginary Roots with the Square Root Property
    02:20

Completing the Square

  • Guided course
    Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

  • Guided course
    The Discriminant
    04:11
  • Guided course
    Solving Quadratic Equations Using The Quadratic Formula
    06:36

Choosing a Method to Solve Quadratics

  • Guided course
    Choosing a Method to Solve Quadratics
    04:03

Limits at Infinity

  • Finding Limits at Infinity Algebraically
    06:25
  • Finding Limits at Infinity Numerically and Graphically
    04:55
  • Finding Limits at Infinity Algebraically Example 1
    02:43

Introduction to Limits

  • Guided course
    Finding Limits Numerically and Graphically Example 1
    02:34
  • Guided course
    Cases Where Limits Do Not Exist
    03:07
  • Guided course
    Finding Limits Numerically and Graphically
    06:47

Finding Limits Algebraically

  • Guided course
    Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Guided course
    Finding Limits by Direct Substitution
    05:21
  • Guided course
    Limits of Rational Functions: Denominator = 0
    06:11