Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions. We review how to evaluate these functions, and we show the properties of their graphs. We provide examples of equations with terms involving these functions and ...
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Calculus Volume 1 Introduction Contents Highlights Print Figure 5.1Iceboating is a popular winter sport in parts of the northern United States and Europe. (credit: modification of work by Carter Brown, Flickr)
About Calculus Volume 1 Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them.
Calculus Volume 1 Index Contents Highlights Print A absolute extremum4.3 Maxima and Minima absolute maximum4.3 Maxima and Minima absolute minimum4.3 Maxima and Minima absolute value function1.1 Review of Functions acceleration3.1 Defining the Derivative, 3.4 Derivatives as Rates of Change algebraic function1.2 Basic Classes of Functions amount of change3.4 Derivatives as Rates of Change ...
As we embark on our study of calculus, we shall see how its development arose from common solutions to practical problems in areas such as engineering physics—like the space travel problem posed in the chapter opener. Two key problems led to the initial formulation of calculus: (1) the tangent problem, or how to determine the slope of a line tangent to a curve at a point; and (2) the area ...