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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
      • Simplifying Radicals
      • Writing Exponents Using Radical Notation
      • The Horizontal Line Test
      • Find Inverses Algebraically
      • The Domain and Range of a Function and Its Inverse
      • Linear Equations
      • Quadratic 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
      • Adding 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
  • Part II: The Answers
    • Chapter 16: Answers and Explanations
  • About the Author
  • Cheat Sheet
  • More Dummies Products
  • End User License Agreement

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

Vörumerki: Dummies Series
Vörunúmer: 9781118496732
Rafbók

Veldu vöru

1.640 kr.
Get the product now
1.640 kr.