## Calculus: Concepts and ContextsStewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. |

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THERE IS NOTHING ABOUT DEVELOPMENT IN CALCULUS IN THIS BOOK

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### Contents

A Preview of Calculus | 3 |

Functions and Models | 11 |

Limits and Derivatives | 89 |

Differentiation Rules | 173 |

Applications of Differentiation | 255 |

Integrals | 331 |

Applications of Integration | 431 |

Differential Equations | 493 |

Infnite Sequences and Series | 553 |

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### Common terms and phrases

angle antiderivative approximation available in TEC axis calculator or computer Chain Rule computer algebra system computer with graphing constant continuous function convergent coordinates curve cylinder decimal places defined differential equation distance divergent domain double integral dy dx estimate evaluate EXAMPLE Exercise exponential function expression f fx formula fx dx fx fx fx,y given Graphing calculator graphing software required Homework Hints available horizontal intersection interval lim x l limit line integral linear local maximum Maclaurin series maximum minimum value Newton’s parabola parametric equations particle plane polynomial population positive problem radius rate of change region Riemann sum secant line Section shown in Figure shows Sketch the graph slope solid SOLUTION solve Suppose surface tangent line temperature tion variables vector field velocity vertical