Worldwide Differential Calculus 1st edition

Access is contingent on use of this textbook in the instructor's classroom.

• Chapter 1: Rates of Change and the Derivative
  • 1.1: Average Rates of Change
  • 1.2: Prelude to IROC's
  • 1.3: Limits and Continuity
  • 1.4: IROC's and the Derivative
  • 1.5: Extrema and the Mean Value Theorem
  • 1.6: Higher-Order Derivatives
  
  
• Chapter 2: Basic Rules for Calculating Derivatives
  • 2.1: The Power Rule and Linearity
  • 2.2: The Product and Quotient Rules
  • 2.3: The Chain Rule and Inverse Functions
  • 2.4: The Exponential Function
  • 2.5: The Natural Logarithm
  • 2.6: General Exponential and Logarithmic Functions
  • 2.7: Trigonometric Functions: Sine and Cosine
  • 2.8: The Other Trigonometric Functions
  • 2.9: Inverse Trig Functions
  • 2.10: Implicit Functions
  
  
• Chapter 3: Applications of Differentiation
  • 3.1: Related Rates
  • 3.2: Graphing
  • 3.3: Optimization
  • 3.4: Linear Approximation
  • 3.5: l'Hôpital's Rule
  
  
• Chapter 4: Anti-differentiation & Differential Equations
  • 4.1: What is a Differential Equation?
  • 4.2: Anti-derivatives
  • 4.3: Separable Differential Equations
  • 4.4: Applications of Differential Equations
  • 4.5: Approximating Solutions
  
  
• Chapter A: Appendix: Parameterized Curves and Motion
  • A.1: Parameterized Curves