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Lecture
Extrema of Functions
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Chapter 5: Function Studies
Covers the study of functions, including limits, derivatives, and sign variations.
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Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.
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Explores Taylor's formula, polynomials, functions, and series applications.
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Covers the essential elements for studying a function, including its domain, behavior at boundaries, limits, derivatives, and points of inflection.
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Covers the optimization of volume by constructing a rectangular box.
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Explores stationary points, saddle points, symmetric matrices, and orthogonal properties in optimization.
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Explores the Local Inversion Theorem and extremum points in functions.
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Covers the concept of stationary points in optimization and how to identify local extrema.
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Explores convex functions, global minima, and their relationship with differentiability.