## CalculusThis the shortest mainstream calculus book available. The authors make effective use of computing technology, graphics, and applications, and provide at least two technology projects per chapter. This popular book is correct without being excessively rigorous, up-to-date without being faddish. Maintains a strong geometric and conceptual focus. Emphasizes explanation rather than detailed proofs. Presents definitions consistently throughout to maintain a clear conceptual framework. Provides hundreds of new problems, including problems on approximations, functions defined by tables, and conceptual questions. Ideal for readers preparing for the AP Calculus exam or who want to brush up on their calculus with a no-nonsense, concisely written book. |

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### Contents

Functions and Limits | 37 |

The Derivative | 99 |

Applications of the Derivative | 161 |

Copyright | |

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### Common terms and phrases

angle Answers to Concepts antiderivative approximate bounded calculate called Chain Rule circle concave Concepts Review constant continuous converges coordinates cos2 cosh cosx curve cylinder defined definite integral denote derivative differential equation distance diverges domain dy dx ellipse error Euler's Method evaluate EXAMPLE 1 Find Exercise Find the area Find the equation Find the volume formula given Hint hyperbola improper integral intersection interval l'Hopital's Rule length lim f(x limit linear Maclaurin Maclaurin series maximum Mean Value Theorem method minimum value obtain odd function parabola parametric equations perpendicular plane plot polar polynomial Problem Set Proof radius real number rectangle region result Riemann sum Section Show shown in Figure sin2 sinx Sketch the graph slope solid Solution solve Suppose surface tangent line Test tion triangle True variable vector velocity vertical x-axis xy-plane y-axis zero