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Lecture
Taylor and Lagrange Formulas
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Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Higher Derivatives, Taylor Introduction
Introduces higher derivatives and the Taylor development, illustrating examples and discussing the uniqueness of the Taylor polynomial.
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Explores finding the equation of the tangent line to a function's graph at a point.
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Explains partial derivatives, Hessienne matrix, and their properties.
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Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
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Explores Taylor series, derivatives, and approximations in mathematical analysis.
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Explores partial derivatives, Taylor formula, examples, and extrema of functions.
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Explores Taylor polynomials, including order, development, limits, and algebraic operations.