## Calculus: Single VariableDeborah Hughes-Hallett, Andrew M. Gleason, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Douglas Quinney, Brad G. Osgood, Andrew Pasquale, Jeff Tecosky-Feldman, Joe B. Thrash, Karen R. Thrash, Thomas W. Tucker A revision of the best selling innovative Calculus text on the market. Functions are presented graphically, numerically, algebraically, and verbally to give readers the benefit of alternate interpretations. The text is problem driven with exceptional exercises based on real world applications from engineering, physics, life sciences, and economics. Revised edition features new sections on limits and continuity, limits, l'Hopital's Rule, and relative growth rates, and hyperbolic functions. |

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### Contents

A LIBRARY OF FUNCTIONS | 1 |

FOCUS ON THEORY | 77 |

THE DERIVATIVE | 87 |

Copyright | |

15 other sections not shown

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### Common terms and phrases

acceleration answer antiderivative approximation Assume asymptote chain rule Chapter complex number concave constant continuous converge cost cosx critical points decimal places decreasing defined definite integral density function derivative difference difference quotient differential equation equilibrium error estimate Euler's method Example Explain exponential function feet Fourier fraction function f(x geometric series given gives global graph in Figure growth rate height horizontal improper integral increasing initial integrand interval limit linear look mass maxima and minima maximum means meters method midpoint minimum negative Newton's method population positive Problems for Section quantity radius rate of change rectangle represents Riemann sum right-hand sums root shown in Figure sinx Sketch a graph slope field solution curves solve speed subdivision substitution Suppose Table tangent line Taylor polynomial Taylor series temperature Theorem trapezoid upper bound vertical write zero