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Long Division of Polynomials
Chapter 2: Trigonometry Review
The Problems You’ll Work On
What to Watch Out For
Basic Trigonometry
Converting Degree Measure to Radian Measure
Converting Radian Measure to Degree Measure
Finding Angles in the Coordinate Plane
Finding Common Trigonometric Values
Simplifying Trigonometric Expressions
Solving Trigonometric Equations
Amplitude, Period, Phase Shift, and Midline
Equations of Periodic Functions
Inverse Trigonometric Function Basics
Solving Trigonometric Equations Using Inverses
Chapter 3: Limits and Rates of Change
The Problems You’ll Work On
What to Watch Out For
Finding Limits from Graphs
Evaluating Limits
Applying the Squeeze Theorem
Evaluating Trigonometric Limits
Infinite Limits
Limits from Graphs
Limits at Infinity
Horizontal Asymptotes
Classifying Discontinuities
Continuity and Discontinuities
Making a Function Continuous
The Intermediate Value Theorem
Chapter 4: Derivative Basics
The Problems You’ll Work On
What to Watch Out For
Determining Differentiability from a Graph
Finding the Derivative by Using the Definition
Finding the Value of the Derivative Using a Graph
Using the Power Rule to Find Derivatives
Finding All Points on a Graph Where Tangent Lines Have a Given Value
Chapter 5: The Product, Quotient, and Chain Rules
The Problems You’ll Work On
What to Watch Out For
Using the Product Rule to Find Derivatives
Using the Quotient Rule to Find Derivatives
Using the Chain Rule to Find Derivatives
More Challenging Chain Rule Problems
Chapter 6: Exponential and Logarithmic Functions and Tangent Lines
The Problems You’ll Work On
What to Watch Out For
Derivatives Involving Logarithmic Functions
Logarithmic Differentiation to Find the Derivative
Finding Derivatives of Functions Involving Exponential Functions
Finding Equations of Tangent Lines
Finding Equations of Normal Lines
Chapter 7: Implicit Differentiation
The Problems You’ll Work On
What to Watch Out For
Using Implicit Differentiation to Find a Derivative
Using Implicit Differentiation to Find a Second Derivative
Finding Equations of Tangent Lines Using Implicit Differentiation
Chapter 8: Applications of Derivatives
The Problems You’ll Work On
What to Watch Out For
Finding and Evaluating Differentials
Finding Linearizations
Using Linearizations to Estimate Values
Understanding Related Rates
Finding Maxima and Minima from Graphs
Using the Closed Interval Method
Finding Intervals of Increase and Decrease
Using the First Derivative Test to Find Local Maxima and Minima
Determining Concavity
Identifying Inflection Points
Using the Second Derivative Test to Find Local Maxima and Minima
Applying Rolle’s Theorem
