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arXiv · 2210.06062

The Specular Derivative

Kiyuob Jung·Jehan Oh
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Abstract

In this paper, we introduce a new generalized derivative, which we term the specular derivative. We establish the Quasi-Rolles' Theorem, the Quasi-Mean Value Theorem, and the Fundamental Theorem of Calculus in light of the specular derivative. We also investigate various analytic and geometric properties of specular derivatives and apply these properties to several differential equations.

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Kiyuob Jung, Jehan Oh. 2022-10-12. The Specular Derivative. https://arxiv.org/abs/2210.06062

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