## Brief Calculus: An Applied ApproachDesigned specifically for the non-math major who will be using calculus in business, economics, or life and social science courses, Brief Calculus: An Applied Approach, 7/e, addresses students' weak math skills through added structure and guidance on how to study math. Special student-success-oriented sections include chapter-opening Strategies for Success; What You Should Learn--and Why You Should Learn It; Section Objectives; Chapter Summaries and Study Strategies; Try Its; Study Tips; and Warm-Up exercises. In addition the text presents Algebra Tips at point of use and Algebra Review at the end of each chapter. 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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### Contents

A Word from the Authors | vii |

Supplements | ix |

Acknowledgments | x |

Features | xii |

A Plan for You as a Student | xx |

A Precalculus Review | xxiii |

Functions Graphs and Limits | 1 |

Differentiation | 81 |

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### Common terms and phrases

ALGEBRA REVIEW antiderivative approximate calculus Chain Rule cost function critical numbers decreasing definite integral demand function differentiation dollars domain double integral dx dx dy dx equation evaluate Example exercises involve skills Explain your reasoning exponential function factor Find the derivative following warm-up exercises formula given graph the function graphing utility horizontal asymptote improper integral inches increasing interval inverse function least squares regression limit linear logarithmic function Midpoint Rule number of units partial derivatives plane points of inflection polynomial population Power Rule Prerequisite Review Quotient Rule radius rate of change real-life region bounded relative extrema Relative minimum revenue Review Exercises Rewrite Section shown in Figure Simplify Simpson's Rule Sketch the graph solve STUDY TIP subintervals Substitute tangent line Trapezoidal Rule U.S. Census Bureau utility to graph variable velocity warm-up exercises involve Write x-axis x-intercept zero