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Theorems about the Derivative

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Inside Calculus

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

Reasonable answers could involve the powerful and important applications of the derivative (e.g., to real-world maximum/minimum problems). But these applications are as yet unjustified by us: if the derivative of a polynomial is useful, we can compute it, but nothing so far shows that it is useful. We turn to results underlying (some of) the applications.

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© 2000 Springer-Verlag New York, Inc.

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(2000). Theorems about the Derivative. In: Inside Calculus. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-22646-0_9

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  • DOI: https://doi.org/10.1007/978-0-387-22646-0_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98932-7

  • Online ISBN: 978-0-387-22646-0

  • eBook Packages: Springer Book Archive

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