Patrick Jones - Calculus - 1001 Practice Problems For Dummies (+ Free Online Practice)

Calculus: 1001 Practice Problems For Dummies®

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Library of Congress Control Number: 2022934833

ISBN 978-1-119-88365-4 (pbk); ISBN 978-1-119-88366-1 (ebk); ISBN 978-1-119-88367-8 (ebk)

1 Cover

2 Title Page

3 Copyright

4 Introduction What You’ll Find Beyond the Book Where to Go for Additional Help

5 Part 1: 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