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Brief Calculus and Its Applications
ISBN: 9780131919655 | 0131919652
Edition: 12thFormat: Paperback
Publisher: Prentice Hall
Pub. Date: 1/1/2010
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Normal 0 false false false MicrosoftInternetExplorer4 This extremely readable, highly regarded, and widely adopted text presents innovative ways for applying calculus to real-world situations in the business, economics, life science, and social science disciplines. The texts' straightforward, engaging approach fosters the growth of both the student's mathematical maturity and his/her appreciation for the usefulness of mathematics. The authors' tried and true formula - pairing substantial amounts of graphical analysis and informal geometric proo... MORE
| Preface | |
| Introduction | |
| Functions | |
| Functions and Their Graphs | |
| Some Important Functions | |
| The Algebra of Functions | |
| Zeros of Functions - The Quadratic Formula and Factoring | |
| Exponents and Power Functions | |
| Functions and Graphs in Applications | |
| The Derivative | |
| The Slope of a Straight Line... MORE | |
| The Slope of a Curve at a Point | |
| The Derivative | |
| Limits and the Derivative | |
| Differentiability and Continuity | |
| Some Rules for Differentiation | |
| More About Derivatives | |
| The Derivative as a Rate of Change | |
| Applications of the Derivative | |
| Describing Graphs of Functions | |
| The First and Second Derivative Rules | |
| The First and Second Derivative Tests and Curve Sketching | |
| Curve Sketching (Conclusion) | |
| Optimization Problems | |
| Further Optimization Problems | |
| Applications of Derivatives to Business and Economics | |
| Techniques of Differentiation | |
| The Product and Quotient Rules | |
| The Chain Rule and the General Power Rule | |
| Implicit Differentiation and Related Rates | |
| Logarithm Functions | |
| Exponential Functions | |
| The Exponential Function e x | |
| Differentiation of Exponential Functions | |
| The Natural Logarithm Function | |
| The Derivative of lnx | |
| Properties of the Natural Logarithm Function | |
| Applications of the Exponential and Natural Logarithmic Functions | |
| Exponential Growth and Decay | |
| Compound Interest | |
| Applications of the Natural Logarithm Function to Economics | |
| Further Exponential Models | |
| The Definite Integral | |
| Antidifferentiation | |
| Areas and Riemann Sums | |
| Definite Integrals and | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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