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- 2.1 The Tangent and Velocity Problems
- 2.2 The LImit of a Function
- 2.3 Calculating Limits Using the Limit Laws
- 2.4 The Precise Definition of a Limit
- 2.5 Continuity
- 2.6 Limits at Infinity; Horizontal Asymptotes
- 2.7 Derivatives and Rates of Change
- 3.01 Derivatives of Polynomials and Exponential Functions
- 3.02 The Product and Quotient Rules
- 3.03 Derivatives of Trigonometric Functions
- 3.04 The Chain Rule
- 3.05 Implicit Differentiation
- 3.06 Derivatives of Logarithmic Functions
- 3.07 Rates of Change in the Natural and Social Sciences
- 3.09 Related Rates
- 3.10 Linear Approximations and Differentials
- 4.1 Maximum and Minimum Values
- 4.2 The Mean Value Theorem
- 4.3 How Derivatives Affect the Shape of a Graph
- 4.5 Summary of Curve Sketching
- 4.7 Optimization Problems
- 4.9 Antiderivatives
- 5.1 Areas and Distances
- 5.2 The Definite Integral
- 5.3 The Fundamental Theorem of Calculus
- 5.5 The Substitution Rule
- 6.1 Areas between Curves