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Book Categories |
Precalculus Review | 1 | |
Ch. 1 | Limits and Continuity | 74 |
1.1 | Limits | 75 |
1.2 | More About Limits and Asymptotes | 88 |
1.3 | Continuity | 100 |
1.4 | The Precise Definition of Limit | 109 |
Ch. 2 | Exponentials and Logarithms | 118 |
2.1 | Exponential Functions | 119 |
2.2 | Compound Interest and the Number e | 128 |
2.3 | Logarithmic Functions | 136 |
2.4 | Natural Logarithm and Applications | 144 |
Ch. 3 | The Derivative | 162 |
3.1 | The Slope of a Graph | 163 |
3.2 | The Derivative of a Function | 175 |
3.3 | The Derivative as a Rate | 190 |
3.4 | Differentiability and Linear Approximation | 205 |
3.5 | Derivative of Logarithms and Exponentials | 215 |
3.6 | The Product and Quotient Rules | 229 |
3.7 | The Chain Rule | 235 |
3.8 | Implicit Differentiation and Related Rates | 241 |
Ch. 4 | Using the Derivative | 256 |
4.1 | First Derivative Tests | 257 |
4.2 | Second Derivative Tests | 271 |
4.3 | Sketching Graphs | 280 |
4.4 | Optimization and Applications | 289 |
4.5 | Applied Optimization Problems | 296 |
4.6 | Using a Graphing Calculator | 305 |
Ch. 5 | Integration | 316 |
5.1 | The Indefinite Integral | 317 |
5.2 | Integration by Substitution | 332 |
5.3 | Integration by Parts and Partial Fractions | 340 |
5.4 | Area and the Definite Integral | 348 |
5.5 | The Fundamental Theorem of Calculus | 365 |
5.6 | Computing Definite Integrals, Areas, and Averages | 376 |
5.7 | Numerical Methods | 388 |
Ch. 6 | Further Applications of the Integral | 406 |
6.1 | Consumer and Producer Surplus | 407 |
6.2 | Continuous Income Streams | 413 |
6.3 | Separable Differential Equations | 424 |
6.4 | The Logistic Growth Model | 436 |
6.5 | Improper Integrals and Applications | 446 |
Ch. 7 | Functions of Several Variables and Applications | 464 |
7.1 | Functions of Two Variables and Their Graphs | 465 |
7.2 | Partial Derivatives | 478 |
7.3 | Maxima and Minima in Two Variables | 493 |
7.4 | The Method of Least Squares | 504 |
7.5 | Constrained Optimization and Lagrange Multipliers | 513 |
Ch. 8 | Trigonometric Functions | 532 |
8.1 | Radian Measure of Angles | 533 |
8.2 | The Sine, Cosine, and Tangent | 537 |
8.3 | Derivatives of Trigonometric Functions | 549 |
8.4 | Integrals of Trigonometric Functions | 560 |
Answers to Odd-Numbered Problems | ||
Photo Credits | ||
Index |
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Add Calculus: Ideas and Applications, Textbook: This lively, informal applied calculus text speaks directly to the needs of students in business, economics, life sciences, social sciences, and liberal arts. In a clear, conversational style, the authors focus on key themes without bogging stud, Calculus: Ideas and Applications to the inventory that you are selling on WonderClubX
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Add Calculus: Ideas and Applications, Textbook: This lively, informal applied calculus text speaks directly to the needs of students in business, economics, life sciences, social sciences, and liberal arts. In a clear, conversational style, the authors focus on key themes without bogging stud, Calculus: Ideas and Applications to your collection on WonderClub |