Chapter 6- Applications of Derivatives

• Intermediate Value Theorem
• Mean Value Theorem
  • Rolle’s Theorem
• Introduction to Extrema
• Local Extrema
• The First Derivative Test
• Absolute Extrema
• Optimization
• Higher order Derivatives
• Second Derivative Test
• Concavity and Inflection Points
• Rectilinear Motion: Position, Velocity and Acceleration
• Introduction to Differential Equations
  • A Few Basic Examples
  • Local Linearity and Euler’s Method
• L’Hôpital’s rule
• Related Rates