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Fast Start Differential Calculus [electronic resource] / by Daniel Ashlock.

By: Ashlock, Daniel [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Synthesis Lectures on Mathematics & Statistics: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XIII, 222 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783031024207.Subject(s): Mathematics | Statistics  | Engineering mathematics | Mathematics | Statistics | Engineering MathematicsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 510 Online resources: Click here to access online
Contents:
Preface -- Acknowledgments -- Review of Algebra -- The Library of Functions -- Limits, Derivatives, Rules, and the Meaning of the Derivative -- Curve Sketching -- Optimization -- Limits and Continuity: The Details -- Author's Biography -- Index.
In: Springer Nature eBookSummary: This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.
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Preface -- Acknowledgments -- Review of Algebra -- The Library of Functions -- Limits, Derivatives, Rules, and the Meaning of the Derivative -- Curve Sketching -- Optimization -- Limits and Continuity: The Details -- Author's Biography -- Index.

This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.

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