calculus solutions

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Thirteenth EditionCALCULUS&ITS APPLICATIONSGoldsteinLaySchneiderAsmarBrief-FM TOCAW 00102/Goldstein-CalculusDecemb er 22, 201213:17FM TOCAW 00102/Goldstein-CalculusDecemb er 22, 2012ContentsPreface viiPrerequisite Skills Diagnostic TestIntroduction 10xvFunctions0.10.20.30.40.50.63Functions and Their Graphs 3Some Important Functions13The Algebra of Functions21Zeros of FunctionsThe Quadratic Formula and FactoringExponents and Power Functions33Functions and Graphs in Applications 40Chapter Summary and Chapter Review Exercises150The Derivative1.11.21.3*1.4*1.51.61.71.856The Slope of a Straight Line57The Slope of a Curve at a Point 66The Derivative and Limits 73Limits and the Derivative82Differentiability and Continuity92Some Rules for Differentiation 98More about Derivatives 104The Derivative as a Rate of Change112Chapter Summary and Chapter Review Exercises226123Applications of the Derivative2.12.22.32.42.52.6*2.7Describing Graphs of Functions131131The First- and Second-Derivative Rules 141The First- and Second-Derivative Tests and Curve SketchingCurve Sketching (Conclusion)149159Optimization Problems 164Further Optimization Problems 172Applications of Derivatives to Business and Economics 180Chapter Summary and Chapter Review Exercises189*These sections are optional in the sense that they are not prerequisites for later material.REVISED

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