## Calculus: Early TranscendentalsAppropriate for the traditional 3-term college calculus course, Calculus: Early Transcendentals, Fourth Edition provides the student-friendly presentation and robust examples and problem sets for which Dennis Zill is known. This outstanding revision incorporates all of the exceptional learning tools that have made Zill's texts a resounding success. He carefully blends the theory and application of important concepts while offering modern applications and problem-solving skills. |

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### Contents

Appendix APP1 | 1 |

2 | 67 |

The Derivative | 121 |

4 | 191 |

5 | 267 |

6 | 321 |

7 | 379 |

8 | 439 |

12 | 655 |

13 | 681 |

Multiple Integrals | 749 |

15 | 801 |

16 | 867 |

Answers to Test Yourself ANS1 | 913 |

Answers to Selected OddNumbered Problems ANS2 | 961 |

Photo Credits | 985 |

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### Common terms and phrases

angle Answers to selected antiderivative approximation axis calculus Chain Rule constant continuous converges coordinates cosu cosx critical number curve cylinder defined definite integral Deﬁnition differential equation diverges domain dy dx dy>dx Evaluate ﬁnd Find an equation formula function f function in Example Fundamentals In Problems given function Graph for Problem Graph of function hyperbola indeterminate form interval inverse length lim xS0 limit limxSaf(x line integral linear logarithmic obtain odd function odd-numbered problems begin one-to-one one-to-one function parabola parametric equations partial derivatives perpendicular plane polynomial function positive power series Quotient Rule radius rational function real numbers rectangular Section secx selected odd-numbered problems sequence Show shown in FIGURE sinx slope solid of revolution Solution surface tangent line tanx Theorem trigonometric variables vector field velocity volume x-axis x-intercepts xy-plane y f(x y-axis zero