Calculus

Curve Sketching Video Review Lessons

Introduction
• An Introduction to Curve Sketching
• Three Big Theorems
• Morale Moment
• Welcome to Calculus II
• Calculus I in 20 Minutes
Critical Points
• Critical Points
• Maximum and Minimum
• Regions Where a Function Increases or Decreases
• The First Derivative Test
• Math Magic
Concavity
• Concavity and Inflection Points
• Using the Second Derivative to Examine Concavity
• The Möbius Band
Graphing Using the Derivative
• Graphs of Polynomial Functions
• Cusp Points and the Derivative
• Domain-Restricted Functions and the Derivative
• The Second Derivative Test
Asymptotes
• Vertical Asymptotes
• Horizontal Asymptotes and Infinite Limits
• Graphing Functions with Asymptotes
• Functions with Asymptotes and Holes
• Functions with Asymptotes and Critical Points