## Brief Calculus, Student Study Guide: For Business, Social Sciences, and Life Sciences, Preliminary EditionDeborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale, Jeff Tecosky-Feldman, Joe B. Thrash, Karen R. Thrash, Thomas W. Tucker Concepts are presented graphically, numerically, and algebraically to give students the benefit of several interpretations. The book is problem driven and features exceptional exercises based on real-world applications for management, life and social science students. Technology is used as a tool to help students visualize the concepts and learn to think mathematically. Contains the main ideas of calculus in a clear, simple manner to improve students' understanding and encourage them to read the examples. |

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### Contents

THE DERIVATIVE | 35 |

THE DEFINITE INTEGRAL | 63 |

SHORTCUTS TO DIFFERENTIATION | 115 |

Copyright | |

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### Common terms and phrases

Absolute growth rate antiderivative approx approximately average cost average rate average value Book calculating Checking examples Checking the concepts constant consumer surplus contour diagram cost function creasing rate critical point cuts the x-axis decreasing function definite integral demand curve derivative function derivative graph derivative of f(x end of Chapter exponential function following key points following key words function f(x function values FUNCTIONS CAREFULLY READ FUNCTIONS Checking Fundamental Theorem given global maximum graphically inflection point instantaneous rate interpret left-hand sum linear function logarithmic function logistic curve logistic function marginal cost means minimum negative partial derivatives PERIODIC FUNCTIONS points are discussed points The following polynomial power function profit quantity rate of change relative growth rate represents revenue function REVIEW OF CHAPTER right-hand sum second derivative sketch slope story study guide Supply block surge function symbols TEXTBOOK Key points total change True/False turn velocity zero