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WebCalculus 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.
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1.1 Review of Functions - Calculus Volume 1 | OpenStax
Web1.1.1 Use functional notation to evaluate a function. 1.1.2 Determine the domain and range of a function. 1.1.3 Draw the graph of a function. 1.1.4 Find the zeros of a function. 1.1.5 Recognize a function from a table of values. 1.1.6 Make new functions from two or more given functions. 1.1.7 Describe the symmetry properties of a function.
Web3.1.1 Recognize the meaning of the tangent to a curve at a point. 3.1.2 Calculate the slope of a tangent line. 3.1.3 Identify the derivative as the limit of a difference quotient. 3.1.4 Calculate the derivative of a given function at a point. 3.1.5 Describe the velocity as a …
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2.1 A Preview of Calculus - Calculus Volume 1 | OpenStax
Web2.1.1 Describe the tangent problem and how it led to the idea of a derivative. 2.1.2 Explain how the idea of a limit is involved in solving the tangent problem. 2.1.3 Recognize a tangent to a curve at a point as the limit of secant lines. 2.1.4 Identify instantaneous velocity as the limit of average velocity over a small time interval.
WebAbout 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.
WebJun 29, 2023 · 132 views • 9 months ago. •. An in depth view of Calculus 1 topics, based on the free OpenStax Calculus book Volume 1. Topics include limits (limit laws, continuity, and epsilon-delta...
WebPreface. Welcome to Calculus Volume 1, an OpenStax resource. This textbook was written to increase student access to high-quality learning materials, maintaining highest standards of academic rigor at little to no cost.
