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The Rules of Di_erentiation. Logarithmic Derivatives. Derivatives of Inverse Functions. Tangents and Normals. Linearization and Leibnitz di_erentials. Related Rates. Rolle’s, Lagrange’s and Darboux’ theorems. Descartes’ Paradox. Critical points. Concavity and inflection points. The Shape of a Graph. The Shape of an Implicit Function Graph. Implicit Function Theorem. Classical Implicit Functions and their Graphs: Descartes’ Folium, the Devil’s Curve, Lemniscate of Bernoulli. Cost Function, Revenue, Profit. Lorenz Curves. Elasticity and Weber-Fechner law. Elasticity Theorems. Geometric sense of Elasticity. L’Hospital’s Rule. Taylor’s Formula.

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Newton’s Method of Fluxions

  • 章节

  • 发表日期：

    2025年

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  • Sergey Khrushchev

摘要

The Rules of Di_erentiation. Logarithmic Derivatives. Derivatives of Inverse Functions. Tangents and Normals. Linearization and Leibnitz di_erentials. Related Rates. Rolle’s, Lagrange’s and Darboux’ theorems. Descartes’ Paradox. Critical points. Concavity and inflection points. The Shape of a Graph. The Shape of an Implicit Function Graph. Implicit Function Theorem. Classical Implicit Functions and their Graphs: Descartes’ Folium, the Devil’s Curve, Lemniscate of Bernoulli. Cost Function, Revenue, Profit. Lorenz Curves. Elasticity and Weber-Fechner law. Elasticity Theorems. Geometric sense of Elasticity. L’Hospital’s Rule. Taylor’s Formula.