## The Calculus, with Analytic Geometry: Functions of one variable, plane analytic geometry, and infinite series |

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#### LibraryThing Review

User Review - br77rino - LibraryThingTHE textbook for untold thousands of calculus students. The version I had in high school in the 70's had a red cover with a few simple black and yellow geometric shapes. Read full review

#### Review: The Calculus With Analytic Geometry

User Review - GoodreadsA great calculus textbook. No glossy pages or color pictures, but Leithold goes through each procedure in a thorough way proving each theorem as they are introduced. The reader needs a strong understanding of algebra before undertaking this material. Read full review

### Contents

Real numbers | 1 |

Applications 4 1 The Derivative as a Rate of Change | 179 |

Test | 208 |

Copyright | |

12 other sections not shown

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### Common terms and phrases

absolute maximum value absolute minimum absolutely convergent angle antiderivative apply chain rule closed interval concave upward continuous coordinates cos2 cosh cost function critical numbers curve decimal places definite integral denoted derivative differentiable directrix divergent domain Draw a sketch ellipse equivalently evaluate example exists Figure Find an equation Find the area Find the volume focus formula ft/sec function defined given series graph is concave Hence hyperbola improper integral inequality inverse length lim f(x Limit theorem natural logarithmic obtain open interval parabola particle perpendicular plane positive integer positive number power series proof Prove radius radius of convergence reader see Exercise real numbers rectangle rectangular elements region bounded relative minimum value Riemann sum sec2 sequence shown in Fig sin2 sinh slope solid of revolution solution square units subinterval tangent line tion velocity vertex vertices zero