## Schaum's Outline of Beginning Calculus
Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
- Practice problems with full explanations that reinforce knowledge
- Coverage of the most up-to-date developments in your course field
- In-depth review of practices and applications
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved. |

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### Contents

1 | |

8 | |

15 | |

25 | |

38 | |

Chapter 6 Symmetry | 44 |

Chapter 7 Functions and Their Graphs | 49 |

Chapter 8 Limits | 63 |

Chapter 26 Sine and Cosine Functions | 203 |

Chapter 27 Graphs and Derivatives of Sine and Cosine Functions | 215 |

Chapter 28 The Tangent and Other Trigonometric Functions | 227 |

Chapter 29 Antiderivatives | 235 |

Chapter 30 The Definite Integral | 243 |

Chapter 31 The Fundamental Theorem of Calculus | 253 |

Area and Arc Length | 264 |

Volume | 273 |

Chapter 9 Special Limits | 71 |

Chapter 10 Continuity | 82 |

Chapter 11 The Slope of a Tangent Line | 91 |

Chapter 12 The Derivative | 97 |

Chapter 13 More on the Derivative | 105 |

Chapter 14 Maximum and Minimum Problems | 110 |

Chapter 15 The Chain Rule | 122 |

Chapter 16 Implicit Differentiation | 133 |

Chapter 17 The MeanValue Theorem and the Sign of the Derivative | 137 |

Chapter 18 Rectilinear Motion and Instantaneous Velocity | 145 |

Chapter 19 Instantaneous Rate of Change | 152 |

Chapter 20 Related Rates | 156 |

Chapter 21 Approximation by Differentials Newtons Method | 164 |

Chapter 22 HigherOrder Derivatives | 171 |

Chapter 23 Applications of the Second Derivative and Graph Sketching | 178 |

Chapter 24 More Maximum and Minimum Problems | 190 |

Chapter 25 Angle Measure | 197 |

Chapter 34 The Natural Logarithm | 285 |

Chapter 35 Exponential Functions | 292 |

Chapter 36 LHôpitals Rule Exponential Growth and Decay | 301 |

Chapter 37 Inverse Trigonometric Functions | 309 |

Chapter 38 Integration by Parts | 323 |

Chapter 39 Trigonometric Integrands and Trigonometric Substitutions | 329 |

Chapter 40 Integration of Rational Functions The Method of Partial Fractions | 339 |

Trigonometric Formulas | 347 |

Basic Integration Formulas | 348 |

Geometric Formulas | 349 |

Trigonometric Functions | 350 |

Natural Logarithms | 352 |

Exponential Functions | 354 |

Answers to Supplementary Problems | 356 |

Index | 393 |

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### Common terms and phrases

absolute maximum algebra angle antiderivative approximate Assume CHAPTER circle Click here forterms closed interval continuous function coordinates Copyright cos2 cosx critical numbers curve deﬁned definite integral deﬁnition derivative distance domain Evaluate EXAMPLES extrema f is continuous feet per second ﬁnd ﬁrst following functions forx function f graphing calculator height Hence Hint horizontal asymptote implicit differentiation inflection point intersection Let f lim x→0 McGraw-Hill Companies moving negative Newton’s method odd function one-one parabola perpendicular polynomial positive power chain rule Property Prove quadrant quotient rule radians radius rational function real numbers region relative minimum shown in Fig side sin2 sinx Sketch the graph slope slope-intercept equation solid of revolution Solved Problems square subintervals substitution Supplementary Problems symmetric with respect tangent line tanx triangle velocity vertical asymptote x-axis x-coordinate y-axis y-intercept