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Critical Points, Derivative Tests, and Applications in Calculus

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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

The Second Derivative Test

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

Differentials

  • Guided course
    Finding Differentials
    05:53
  • Guided course
    Determining Error and Relative Error
    04:57
  • Guided course
    Determining Error and Relative Error Example 1
    04:46

Implicit Differentiation

  • Guided course
    Finding The Implicit Derivative
    05:14
  • Guided course
    Finding The Implicit Derivative Example 1
    09:16

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

Properties of Logarithms

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

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

Intro to Extrema

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

Finding Global Extrema

  • Critical Points Example 2
    03:52
  • Finding Global Extrema (Extreme Value Theorem) Example 4
    03:34
  • Finding Global Extrema (Extreme Value Theorem) Example 3
    04:19

Applied Optimization

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