# Larson Calculus for AP Larson Calculus for AP

ISBN: 9781305674912 / 130567491X

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### Chapter P

Preparation For Calculus

 P.1 Graphs and Models Exercises p.10 P.2 Linear Models and Rates of Change Exercises p.20 P.3 Functions and Their Graphs Exercises p.31 P.4 Inverse Functions Exercises p.42 P.5 Exponential and Logarithmic Functions Exercises p.51 Review Exercises p.54 Performance Task p.56

### Chapter 1

Limits And Their Properties

 1.1 A Preview of Calculus Exercises p.63 1.2 Finding Limits Graphically and Numerically Exercises p.72 1.3 Evaluating Limits Analytically Exercises p.84 1.4 Continuity and One-Sided Limits Exercises p.96 1.5 Infinite Limits Exercises p.105 1.6 Limits at Infinity Exercises p.115 Review Exercises p.118 AP Exam Practice Questions p.120

### Chapter 2

Differentiation

 2.1 The Derivative and the Tangent Line Problem Exercises p.131 2.2 Basic Differentiation Rules and Rates of Change Exercises p.143 2.3 Product and Quotient Rules and Higher-Order Derivatives Exercises p.154 2.4 The Chain Rule Exercises p.168 2.5 Implicit Differentiation Exercises p.179 2.6 Derivatives of Inverse Functions Exercises p.186 2.7 Related Rates Exercises p.194 2.8 Newton's Method Exercises p.202 Review Exercises p.204 AP Exam Practice Questions p.208

### Chapter 3

Applications Of Differentiation

 3.1 Extrema on an Interval Exercises p.217 3.2 Rolle's Theorem and the Mean Value Theorem Exercises p.224 3.3 Increasing and Decreasing Functions and the First Derivative Test Exercises p.233 3.4 Concavity and the Second Derivative Test Exercises p.242 3.5 A Summary of Curve Sketching Exercises p.253 3.6 Optimization Problems Exercises p.262 3.7 Differentials Exercises p.272 Review Exercises p.274 AP Exam Practice p.276

### Chapter 4

Integration

 4.1 Antiderivatives and Indefinite Integrals Exercises p.287 4.2 Area Exercises p.299 4.3 Riemann Sums and Definite Integrals Exercises p.312 4.4 The Fundamental Theorem of Calculus Exercises p.328 4.5 Integration by Substitution Exercises p.341 4.6 The Natural Logarithmic Function: Integration Exercises p.351 4.7 Inverse Trigonometric Functions: Integration Exercises p.359 Review Exercises p.362 AP Exam Practice p.364

### Chapter 5

Differential Equations

 5.1 Slope Fields and Euler's Method Exercises p.373 5.2 Differential Equations: Growth and Decay Exercises p.382 5.3 Separation of Variables Exercises p.391 5.4 The Logistic Equation Exercises p.400 Review Exercises p.402 AP Exam Practice p.404

### Chapter 6

Applications Of Integration

 6.1 Area of a Region Between Two Curves Exercises p.414 6.2 Volume: The Disk Method Exercises p.425 6.3 Volume: The Shell Method Exercises p.434 6.4 Arc Length and Surfaces of Revolution Exercises p.444 Review Exercises p.448 AP Exam Practice p.450

### Chapter 7

Integration Techniques, L'Hopital's Rule, And Improper Integrals

 7.1 Basic Integration Rules Exercises p.458 7.2 Integration by Parts Exercises p.467 7.3 Trigonometric Integrals Exercises p.477 7.4 Trigonometric Substitution Exercises p.486 7.5 Partial Fractions Exercises p.496 7.6 Integration by Tables and Other Integration Techniques Exercises p.502 7.7 Indeterminate Forms and L'Hopital's Rule Exercises p.511 7.8 Improper Integrals Exercises p.522 Review Exercises p.526 AP Exam Practice p.528

### Chapter 8

Infinite Series

 8.1 Sequences Exercises p.540 8.2 Series and Convergence Exercises p.549 8.3 The Integral Test and p-Series Exercises p.557 8.4 Comparisons of Series Exercises p.564 8.5 Alternating Series Exercises p.573 8.6 The Ratio and Root Tests Exercises p.581 8.7 Taylor Polynomials and Approximations Exercises p.592 8.8 Power Series Exercises p.602 8.9 Representation of Functions by Power Series Exercises p.610 8.10 Taylor and Maclaurin Series Exercises p.621 Review Exercises p.624 AP Exam Practice p.626

### Chapter 9

Parametric Equations, Polar Coordinates, And Vectors

 9.1 Conics and Calculus Exercises p.640 9.2 Plane Curves and Parametric Equations Exercises p.650 9.3 Parametric Equations and Calculus Exercises p.657 9.4 Polar Coordinates and Polar Graphs Exercises p.668 9.5 Area and Arc Length in Polar Coordinates Exercises p.676 9.6 Vectors in the Plane Exercises p.684 9.7 Vector-Valued Functions Exercises p.693 9.8 Velocity and Acceleration Exercises p.700 Review Exercises p.702 AP Exam Practice p.706
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