Brief Calculus and Its Applications

Brief Calculus and Its Applications

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Description

These extremely readable, highly regarded, and widely adopted texts present 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 proofs with an abundance of hands-on exercises--has proven to be tremendously successful with both students and instructors.show more

Product details

  • Hardback | 544 pages
  • 208.3 x 261.6 x 27.9mm | 1,147.6g
  • Pearson Education Limited
  • Prentice-Hall
  • Harlow, United Kingdom
  • English
  • Revised
  • 10th Revised edition
  • 0130466182
  • 9780130466181

Table of contents

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; Appendix - Graphing Functions Using Technology. The Derivative: The Slope of a Straight Line 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; Curve Sketching; 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. (Part contents).show more

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