Painless calculus
Book - 2021
"Whether you're a student or an adult looking to refresh your knowledge, Barron's Painless Calculus provides review and practice in an easy, step-by-step format"--
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- Subjects
- Genres
- Study guides
- Published
-
New York, NY :
Kaplan Inc., d/b/a Barron's Educational Series
[2021]
- Language
- English
- Main Author
- Item Description
- "Learning calculus has never been so easy...or so painless!" -- Cover.
- Physical Description
- viii, 342 pages : illustrations ; 23 cm
- Audience
- Grades 6-9
- Bibliography
- Includes index.
- ISBN
- 9781506273198
- How to Use This Book
- Chapter 1. Limits and Continuity
- Definition of a Limit
- Graphic Approach to Limits
- Graphic Approach to Limits at Infinity
- Properties of Limits
- Algebraic Approach to Limits
- Algebraic Approach to Limits at Infinity
- Continuity
- Intermediate Value Theorem
- Brain Ticklers-The Answers
- Chapter 2. Differentiation
- Average Rate of Change
- Slope of a Tangent Line
- Definition of a Derivative Function
- Differentiability
- Continuity and Differentiability
- Brain Ticklers-The Answers
- Chapter 3. Derivatives
- Notation
- Properties of Derivatives
- Power Rule
- Product Rule
- Quotient Rule
- Chain Rule
- Trigonometric Functions
- Exponential Functions
- Logarithmic Functions
- Sneaky Derivatives
- Implicit Differentiation
- Logarithmic Differentiation
- Inverse Functions
- Brain Ticklers-The Answers
- Chapter 4. Applications of Derivatives
- Equation of a Tangent Line
- Equation of a Normal Line
- Local Linear Approximation
- L'Hopital's Rule
- Curve Sketching
- Graphical Representation of the Derivative
- Second Derivative Test
- Absolute Maxima and Minima
- Extreme Value Theorem
- Optimization
- Rectilinear Motion
- Mean Value Theorem
- Related Rates
- Brain Ticklers-The Answers
- Chapter 5. Antidifferentiation
- Indefinite Integrals
- Properties of Indefinite Integrals
- Integral Formulas
- Integration by U-Substitution
- Integration by Parts
- Integration by Partial Fraction Decomposition
- Integration by Completing the Square
- Integration with Powers of Trigonometric Functions
- Integration by Trigonometric Substitutions
- Brain Ticklers-The Answers
- Chapter 6. Definite Integrals
- Notation
- Properties of Definite Integrals
- Riemann Sum
- Trapezoidal Sum
- Fundamental Theorem of Calculus
- Mean Value Theorem for Integrals
- Average Function Value
- Brain Ticklers-The Answers
- Chapter 7. Applications of Definite Integrals
- Area Between Curves
- Volume of a Solid of Revolution
- Volume of a Solid with a Known Cross Section
- Arc Length
- Rectilinear Motion
- Brain Ticklers-The Answers
- Chapter 8. Differential Equations
- Understanding Differential Equations
- Separation of Variables
- Exponential Growth and Decay
- Logistic Growth
- Slope Fields
- Euler's Method
- Brain Ticklers-The Answers
- Appendix: Important Derivatives, Formulas, Integrals, Limits, and Theorems
- Important Derivatives
- Important Formulas
- Important Integrals
- Important Limits
- Important Theorems
- Index