Differential Calculus: Introduction and Summary

Related lectures (23)

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Explains partial derivatives, Hessienne matrix, and their properties.

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

Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.

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

Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Explains differentiability in LR functions and introduces the Jacobian matrix.

Explains differentiability in multivariable functions and the geometric interpretation of tangent planes.

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Explores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.