Differentiable Functions: Definitions and Properties

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Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Explores finding the equation of the tangent line to a function's graph at a point.

Explains partial derivatives, Hessienne matrix, and their properties.

Explores differentiability in two variables and the chain rule for compositions.

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.

Explores differentiability, matrices, and composite functions through examples and mathematical notations.

Explores functions of class C^p, emphasizing continuity and differentiability properties.