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Calculus Practice Assessment 2: Derivatives, Related Rates, Optimization, and Applications

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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

Product and Quotient Rules

  • The Product Rule Example 1
    04:21
  • The Product Rule
    05:18
  • The Quotient Rule
    06:43

Derivatives of Trig Functions

  • Derivatives of Sine & Cosine
    03:53
  • Derivatives of Other Trig Functions Example 1
    01:32
  • Higher Order Derivatives of Sine & Cosine
    03:51

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

Logarithmic Differentiation

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

Tangent Lines and Derivatives

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

Related Rates

  • 가이드 코스
    Intro To Related Rates
    04:16
  • 가이드 코스
    Real World Application
    06:16
  • 가이드 코스
    Changing Geometries
    06:35

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

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

Applied Optimization

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

Motion Analysis

  • 가이드 코스
    Derivatives Applied To Velocity
    06:29
  • 가이드 코스
    Derivatives Applied To Acceleration Example 2
    06:51
  • 가이드 코스
    Derivatives Applied To Acceleration
    06:15