1.1 Change at an Instant: Average Rate, Instantaneous Rate, and the Idea of a Limit
Quiz 1.1
1.2 Limit Notation: One-Sided Limits and Limits That Do Not Exist
Quiz 1.2
1.3 Estimating Limits from Graphs and Tables
Quiz 1.3
1.3 Interactive Lab: Limit Tracker
1.4 Algebraic Limits: Limit Laws, Factoring, and Conjugates
Quiz 1.4
1.5 The Squeeze Theorem and Connecting Representations of Limits
Quiz 1.5
1.6 Types of Discontinuities and Continuity at a Point
Quiz 1.6
1.7 Continuity on an Interval and Removing Discontinuities
Quiz 1.7
1.8 Asymptotes: Infinite Limits and Limits at Infinity
Quiz 1.8
1.9 The Intermediate Value Theorem: Guaranteeing a Value
Quiz 1.9
2.1 Average and Instantaneous Rates of Change at a Point
Quiz 2.1
2.2 The Derivative Defined: Notation, Difference Quotient, and Tangent Lines
Quiz 2.2
2.3 Estimating Derivatives from Tables and Graphs
Quiz 2.3
2.3 Interactive Lab: Slope Finder: Tables and Tangents
2.4 Differentiability and Continuity: When Derivatives Fail to Exist
Quiz 2.4
2.5 Power, Constant, Sum, and Difference Rules
Quiz 2.5
2.6 Derivatives of Sine, Cosine, e to the x, and Natural Log
Quiz 2.6
2.7 Product and Quotient Rules
Quiz 2.7
2.8 Derivatives of Tangent, Cotangent, Secant, and Cosecant
Quiz 2.8
3.1 The Chain Rule: Differentiating Composite Functions
Quiz 3.1
3.2 Implicit Differentiation: Slopes of Curves Not Given as y of x
Quiz 3.2
3.3 Inverse Functions and Inverse Trigonometric Derivatives
Quiz 3.3
3.4 Choosing a Derivative Rule and Finding Higher-Order Derivatives
Quiz 3.4
3.4 Interactive Lab: Pick the Right Rule
4.1 Interpreting the Derivative in Context: Meaning and Units
Quiz 4.1
4.2 Straight-Line Motion: Position, Velocity, Acceleration, and Speed
Quiz 4.2
4.3 Related Rates I: Setting Up Equations over Time
Quiz 4.3
4.4 Related Rates II: Solving with Geometry and Volume Formulas
Quiz 4.4
4.4 Interactive Lab: Related Rates: Set It Up Right
4.5 Local Linearity and Linearization: Tangent Line Approximation
Quiz 4.5
4.6 L'Hospital's Rule for Indeterminate Forms
Quiz 4.6
5.1 The Mean Value Theorem: Average Rate Meets Instantaneous Rate
Quiz 5.1
5.2 Extreme Value Theorem, Critical Points, and Local Versus Global Extrema
Quiz 5.2
5.3 Increasing and Decreasing Intervals and the First Derivative Test
Quiz 5.3
5.4 The Candidates Test for Absolute Extrema
Quiz 5.4
5.5 Concavity and the Second Derivative Test
Quiz 5.5
5.6 Sketching Graphs and Connecting a Function with Its Derivatives
Quiz 5.6
5.6 Interactive Lab: Graph Detective: f, f′ and f″
5.7 Optimization I: Modeling the Problem
Quiz 5.7
5.8 Optimization II: Solving and Justifying the Answer
Quiz 5.8
5.9 Behaviors of Implicit Relations: Tangents and Critical Points
Quiz 5.9
