Definition of logarithms, logarithmic identities, and change-of-base formulas. Finding derivatives of basic functions.
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Using derivatives to find local maxima, minima, and intervals of increase/decrease. Equation of a tangent line to a curve. Antiderivatives and the Newton-Leibniz formula. Definition of logarithms
Creating a detailed study guide or "paper" for the curriculum by A.G. Mordkovich and I.M. Smirnova involves covering three core pillars: Algebra, Elements of Analysis, and Geometry. This specific textbook is often used in humanities-profile classes but remains comprehensive enough for general education. 1. Algebra & Elements of Mathematical Analysis Elements of Analysis