# Calculus: 1,001 Practice Problems For Dummies (+ Free Online Practice)

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## Efnisyfirlit

• Introduction
• What You'll Find
• Beyond the Book
• What you'll find online
• How to register
• Where to Go for Additional Help
• Part I: The Questions
• Chapter 1: Algebra Review
• The Problems You'll Work On
• What to Watch Out For
• Simplifying Fractions
• Writing Exponents Using Radical Notation
• The Horizontal Line Test
• Find Inverses Algebraically
• The Domain and Range of a Function and Its Inverse
• Linear Equations
• Solving Polynomial Equations by Factoring
• Absolute Value Equations
• Solving Rational Equations
• Polynomial and Rational Inequalities
• Absolute Value Inequalities
• Graphing Common Functions
• Domain and Range from a Graph
• End Behavior of Polynomials
• Subtracting Polynomials
• Multiplying Polynomials
• 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
• Using the Mean Value Theorem
• Applying the Mean Value Theorem to Solve Problems
• Relating Velocity and Position
• Finding Velocity and Speed
• Solving Optimization Problems
• Doing Approximations Using Newton's Method
• Approximating Roots Using Newton's Method
• Chapter 9: Areas and Riemann Sums
• The Problems You'll Work On
• What to Watch Out For
• Calculating Riemann Sums Using Left Endpoints
• Calculating Riemann Sums Using Right Endpoints
• Calculating Riemann Sums Using Midpoints
• Using Limits and Riemann Sums to Find Expressions for Definite Integrals
• Finding a Definite Integral from the Limit and Riemann Sum Form
• Using Limits and Riemann Sums to Evaluate Definite Integrals
• Chapter 10: The Fundamental Theorem of Calculus and the Net Change Theorem
• The Problems You'll Work On
• What to Watch Out For
• Using the Fundamental Theorem of Calculus to Find Derivatives
• Working with Basic Examples of Definite Integrals
• Understanding Basic Indefinite Integrals
• Understanding the Net Change Theorem
• Finding the Displacement of a Particle Given the Velocity
• Finding the Distance Traveled by a Particle Given the Velocity
• Finding the Displacement of a Particle Given Acceleration
• Finding the Distance Traveled by a Particle Given Acceleration
• Chapter 11: Applications of Integration
• The Problems You'll Work On
• What to Watch Out For
• Areas between Curves
• Finding Volumes Using Disks and Washers
• Finding Volume Using Cross-Sectional Slices
• Finding Volumes Using Cylindrical Shells
• Work Problems
• Average Value of a Function
• Chapter 12: Inverse Trigonometric Functions, Hyperbolic Functions, and L'Hôpital's Rule
• The Problems You'll Work On
• What to Watch Out For
• Finding Derivatives Involving Inverse Trigonometric Functions
• Finding Antiderivatives by Using Inverse Trigonometric Functions
• Evaluating Hyperbolic Functions Using Their Definitions
• Finding Derivatives of Hyperbolic Functions
• Finding Antiderivatives of Hyperbolic Functions
• Evaluating Indeterminate Forms Using L'Hôpital's Rule
• Chapter 13: U-Substitution and Integration by Parts
• The Problems You'll Work On
• What to Watch Out For
• Using u-Substitutions
• Using Integration by Parts
• Chapter 14: Trigonometric Integrals, Trigonometric Substitution, and Partial Fractions
• The Problems You'll Work On
• What to Watch Out For
• Trigonometric Integrals
• Trigonometric Substitutions
• Finding Partial Fraction Decompositions (without Coefficients)
• Finding Partial Fraction Decompositions (Including Coefficients)
• Integrals Involving Partial Fractions
• Rationalizing Substitutions
• Chapter 15: Improper Integrals and More Approximating Techniques
• The Problems You'll Work On
• What to Watch Out For
• Convergent and Divergent Improper Integrals
• The Comparison Test for Integrals
• The Trapezoid Rule
• Simpson's Rule
• Chapter 16: Answers and Explanations
• Cheat Sheet
• More Dummies Products

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Eiginleikar
Vörumerki: Dummies Series
Vörunúmer: 9781118496732
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# Calculus: 1,001 Practice Problems For Dummies (+ Free Online Practice)

Vörumerki: Dummies Series
Vörunúmer: 9781118496732
Rafræn bók. Uppl. sendar á netfangið þitt eftir kaup

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