Calculus : graphical, numerical, algebraic

The esteemed author team is back with a fourth edition of Calculus: Graphing, Numerical, Algebraic, written specifically for high school students and aligned to the guidelines of the AP Calculus exam. The new edition focuses on providing enhanced student and teacher support; for students, the authors added guidance on the appropriate use of graphing calculators and updated exercises to reflect current data. For teachers, the authors provide lesson plans, pacing guides, and point-of-need answers throughout the Teacher's Edition and teaching resources. - Publisher. Chapter 1 Prerequisites for Calculus 1.1 Lines 1.2 Functions and Graphs 1.3 Exponential Functions 1.4 Parametric Equations 1.5 Functions and Logarithms 1.6 Trigonometric Functions Key Terms Review Exercises Chapter 2 Limits and Contunity 2.1 Rates of Change and Limits 2.2 Limits Involcing Infinity 2.3 Continuity 2.4 Rates of Change and Tangent Lines Key Terms Review Exercises Chapter 3 Derivatives 3.1 Derivative of a Function 3.2 Differentiability 3.3 Rules of Differentiation 3.4 Velocity and Other Rates of Change 3.5 Derivatives of Trigonometric Functions Key Terms Review Exercises Chapter 4 More Derivatives 4.1 Chain Rule 4.2 Implicit Differentiation 4.3 Derivatives of Invers Trigonometric Functions 4.4 Derivatives of Exponential and Logarithmic Functions Key Terms Review Exercises Chapter 5 Applications of Derivatives 5.1 Extreme Values of Functions 5.2 Mean Value Theorem 5.3 Connecting f' and f'' with the Graph of f 5.4 Modeling and Optimization 5.5 Linearization and Differentials 5.6 Related Rates Key Terms Review Exercises Chapter 6 The Definite Integral 6.1 Estimating with Finite Sums 6.2 Definite Integrals 6.3 Definite Integrals and Antiderivatives 6.4 Fundamental Theorem of Calculus 6.5 Trapezoidal Rule Key Terms Review Exercises Chapter 7 Differential Equations and Mathematical Modeling 7.1 Slope Fields and Euler's Method 7.2 Antidifferentiation by Substitution 7.3 Antidifferentiation by Parts 7.4 Exponential Growth and Decay 7.5 Logistic Growth Key Terms Review Exercises Chapter 8 Applications of Definite Integrals 8.1 Integral As Net Change 8.2 Areas in the Plane 8.3 Volumes 8.4 Lengths of Curves 8.5 Applications from Science and Statistics Key Terms Review Exercises Chapter 9 Sequences, L'Hopital's Rule, and Improper Integrals 9.1 Sequences 9.2 L'Hopital's Rule 9.3 Relative Rates of Growth 9.4 Improper Integrals Key Terms Review Exercises Chapter 10 Infinite Series 10.1 Power Series 10.2 Taylor Series 10.3 Taylor's Theorem 10.4 Radius of Convergence 10.5 Testing Convergence at Endpoints Key Terms Review Exercises Chapter 11 Parametric, Vector, and Polar Functions 11.1 Parametric Functions 11.2 Vectors in the Plane 11.3 Polar Functions Key Terms Review Exercises Appendix A1 Formulas from Precalculus Mathematics A2 Mathematical Induction A3 Using the Limit Definition A4 Proof of the Chain Rule A5 Conic Sections A6 Hyperbolic Functions A7 A Brief Table of Integrals Glossary Selected Answers Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Applications Index Index Prerequisites for calculus Limits and continuity Derivatives More derivatives Applications of derivatives The definite integral Differential equations and mathematical modeling Applications of definite integrals Sequences, L'Hopital's Rule, and improper integrals Infinite series Parametric, vector, and polar functions Appendixes. Formulas from precalculus mathematics Mathematical induction Using the limit definition Proof of the chain rule Conic sections Hyperbolic functions A brief table of integrals Glossary Selected answers