Graphs of Equations. Lines in the Plane and Slope. The Derivative and the Slope of a Graph. Some Rules for Differentiation. Rates of Change: Velocity and Marginals. The Product and Quotient Rules.
The Chain Rule. Higher-Order Derivatives. Implicit Differentiation. Related Rates. Increasing and Decreasing Functions. Extrema and the First-Derivative Test. Concavity and the Second-Derivative Test. Optimization Problems. Business and Economics Applications. Curve Sketching: A Summary. Differentials and Marginal Analysis. Exponential Functions. Natural Exponential Functions. Derivatives of Exponential Functions.
Logarithmic Functions. Derivatives of Logarithmic Functions. Exponential Growth and Decay. Antiderivatives and Indefinite Integrals. Integration by Substitution and the General Power Rule. Exponential and Logarithmic Integrals. Throughout the text, features such as algebra review and study tips,- provide you with extra guidance and practice. Stepped-out solution videos with instruction are available at CalcView.
Additionally, the companion website, LarsonAppliedCalculus. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. The mathematical concepts and applications are consistently presented in the same tone and pedagogy to promote confidence and a smooth transition from one course to the next. The consolidation of content for two courses in a single text saves you time in your course--and saves your students the cost of an extra textbook.
Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, this new hybrid edition features the instructional presentation found in the printed text while delivering end-of-section exercises online in Enhanced WebAssign. The result--a briefer printed text that engages students online! The book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts.
Applied problems drawn from government sources, industry, current events, and other disciplines provide well-rounded examples and appeal to students' diverse interests. The Ninth Edition builds upon its applications emphasis through updated exercises and relevant examples. Pedagogical features--from algebra review to study tips--provide extra guidance and practice.
This brief text emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Several pedagogical features--from algebra review to study tips--provide extra guidance and practice. The Eighth Edition builds upon its applications emphasis through updated exercises and relevant examples. In addition the text presents Algebra Tips at point of use and Algebra Review at the end of each chapter. This brief book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts.
Pedagogical features--from algebra review to study tips--continue to provide extra guidance and practice. This accessible introduction to Calculus is designed to demonstrate how calculus applies to various fields of study. The text is packed with real data and real-life applications to business, economics, social and life sciences.
Applications using real data enhances student motivation. Many of these applications include source lines, to show how mathematics is used in the real world. Conceptual problems ask students to put the concepts and results into their own words. These problems are marked with an icon to make them easier to assign. More opportunities for the use of graphing calculator, including screen shots and instructions, and the use of icons that clearly identify each opportunity for the use of spreadsheets or graphing calculator.
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