Appendices
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	Chapter 15 Differential Equations
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Textbook Site for: Calculus with Analytic Geometry Calculus of a Single Variable Multivariable Calculus, Seventh Edition Ron Larson - The Pennsylvania State University, The Behrend College Robert P. Hostetler - The Pennsylvania State University, The Behrend College Bruce H. Edwards - University of Florida Chapter Summary Chapter 3: Applications of Differentiation 3.1 Understand the definition of extrema of a function on an interval. Understand the definition of relative extrema of a function on an open interval. Find extrema on a closed interval. 3.2 Understand and use Rolle’s Theorem. Understand and use the Mean Value Theorem. 3.3 Determine intervals on which a function is increasing or decreasing. Apply the First Derivative Test to find relative extrema of a function. 3.4 Determine intervals on which a function is concave upward or concave downward. Find any points of inflection of the graph of a function. Apply the Second Derivative Test to find relative extrema of a function. 3.5 Determine (finite) limits at infinity. Determine the horizontal asymptotes, if any, of the graph of a function. Determine infinite limits at infinity. 3.6 Analyze and sketch the graph of a function. 3.7 Solve applied minimum and maximum problems. 3.8 Approximate a zero of a function using Newton’s Method. 3.9 Understand the concept of a tangent line approximation. Compare the value of the differential, dy, with the actual change in y, D y. Estimate a propagated error using a differential. Find the differential of a function using differentiation formulas. Site Map | Partners | Press Releases | Company Home | Contact Us Copyright Houghton Mifflin Company. All Rights Reserved. Terms and Conditions of Use, Privacy Statement, and Trademark Information