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Designed particularly for service, economics, or life/social sciences majors, Short Calculus: An Applied Approach, 8/e, encourages students while fostering understanding and also mastery. This brief text emphasizes included and also engaging applications that display students the real-human being relevance of topics and ideas. Several pedagogical features--from algebra evaluation to examine tips--carry out extra guidance and also exercise.The Eighth Edition builds upon its applications focus through updated exercises and also relevant examples. Applied problems attracted from federal government sources, market, present events, and also various other disciplines carry out well-rounded examples and appeal to varied interests. In enhancement, the Brief Calculus routine provides a solid assistance package--including CL MATHSpace Instructor/Student websites and also course administration devices, instructional DVDs, and also services manuals--that permits students to testimonial the product separately and also retain crucial ideas.

Table of Contents
Note: Chapters 1-7 incorporate a Mid-Chapter Resee and also conclude via an Algebra Recheck out, Chapter Outline and also Study Strategies, Recheck out Exercises, and also a Chapter Test.

0. A Precalculus Rewatch 0.1 The Real Number Line and Order 0.2 Absolute Value and Distance on the Real Number Line 0.3 Exponents and also Radicals 0.4 Factoring Polynomials 0.5 Fractions and also Rationalization

1. Functions, Graphs, and Limits 1.1 The Cartesian Plane and the Distance Formula 1.2 Graphs of Equations 1.3 Lines in the Plane and Slope 1.4 Functions 1.5 Limits 1.6 Continuity

2. Differentiation 2.1 The Derivative and the Slope of a Graph 2.2 Some Rules for Differentiation 2.3 Rates of Change: Velocity and Marginals 2.4 The Product and also Quotient Rules 2.5 The Chain Rule 2.6 Higher-Order Derivatives 2.7 Implicit Differentiation 2.8 Related Rates

3. Applications of the Derivative 3.1 Increasing and Decreasing Functions 3.2 Extrema and also the First-Derivative Test 3.3 Concavity and the Second-Derivative 3.4 Optimization Problems 3.5 Business and Economics Applications 3.6 Asymptotes 3.7 Curve Sketching: A Synopsis 3.8 Differentials and also Marginal Analysis

4. Exponential and Logarithmic Functions 4.1 Exponential Functions 4.2 Natural Exponential Functions 4.3 Derivatives of Exponential Functions 4.4 Logarithmic Functions 4.5 Derivatives of Logarithmic Functions 4.6 Exponential Growth and Decay

5. Integration and also Its Applications 5.1 Antiderivatives and Indefinite Integrals 5.2 The General Power Rule and Substitution 5.3 Exponential and Logarithmic Integrals 5.4 Area and also the Fundamental Theorem of Calculus 5.5 The Area of a Region Bounded by Two Graphs 5.6 The Definite Integral as the Limit of a Sum

6. Techniques of Integration 6.1 Integration by Parts and Present Value 6.2 Partial Fractions and also Logistic Growth 6.3 Integration Tables 6.4 Numerical Integration 6.5 Imcorrect Integrals

7. Functions of Several Variables 7.1 The Three-Dimensional Coordinate System 7.2 Surencounters in Gap 7.3 Functions of Several Variables 7.4 Partial Derivatives 7.5 Extrema of Functions of Two Variables 7.6 Lagrange Multipliers 7.7 Least Squares Regression Analysis 7.8 Double Integrals and Area in the Plane 7.9 Applications of Double Integrals Appendix A. Alternative Introduction to the Fundamental Theorem of Calculus Appendix B. Formulas B.1 Differentiation and also Integration Formulas B.2 Formulas from Firm and also Finance Appendix C. Differential Equations C.1 Solutions of Differential Equations C.2 Separation of Variables C.3 First-Order Linear Differential Equations C.4 Applications of Differential Equations Appendix D. Properties and also Measurement (internet only) D.1 Recheck out of Algebra, Geometry, and Trigonometry D.2 Units of Measurements Appendix E. Graphing Utility Programs (web only) E.1 Graphing Utility Programs