Appendices
	Chapter Summaries
	Chapter 15 Differential Equations
	3-D Rotatable Graphs
	Mathgraphs.com
	Algebra_Review
	Ace Practice Tests
	SMARTHINKING
	eduSpace
	Learning Tools Student CD ROM
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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 5: Logarithmic, Exponential, and Other Transcendental Functions 5.1 Develop and use properties of the natural logarithmic function. Understand the definition of the number e. Find derivatives of functions involving the natural logarithmic function. 5.2 Use the Log Rule for Integration to integrate a rational function. Integrate trigonometric functions. 5.3 Verify that one function is the inverse function of another function. Determine whether a function has an inverse function. Find the derivative of an inverse function. 5.4 Develop properties of the natural exponential function. Differentiate natural exponential functions. Integrate natural exponential functions. 5.5 Define exponential functions that have bases other than e. Differentiate and integrate exponential functions that have bases other than e. Use exponential functions to model compound interest and exponential growth. 5.6 Use separation of variables to solve a simple differential equation. Use exponential functions to model growth and decay in applied problems. 5.7 Use initial conditions to find particular solutions of differential equations. Recognize and solve differential equations that can be solved by separation of variables. Recognize and solve homogeneous differential equations. Use a differential equation to model and solve an applied problem. 5.8 Develop properties of the six inverse trigonometric functions. Differentiate an inverse trigonometric function. Review the basic differentiation formulas for elementary functions 5.9 Integrate functions whose antiderivatives involve inverse trigonometric functions. Use the method of completing the square to integrate a function. Review the basic integration formulas involving elementary functions 5.10 Develop properties of hyperbolic functions. Differentiate and integrate hyperbolic functions. Develop properties of inverse hyperbolic functions. Differentiate and integrate functions involving inverse hyperbolic functions. 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