Semi-differentiability

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Mathematics
Analysis
Calculus

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Related lectures (32)

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Differentiability: Partial Derivatives and Hessiennes

Explains partial derivatives, Hessienne matrix, and their properties.

Taylor Series: Expansion and Properties

Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.

Differentiability Theorems

Explores differentiability theorems, including partial derivatives, existence of derivatives, and Schwartz's theorem reciprocals.

Osculating Planes and Parameterized Curves

Covers the concept of osculating planes and parameterized curves, discussing the speed of points and linear independence.

Convexity: Functions and Global Minima

Explores convex functions, global minima, and their relationship with differentiability.

Derivatives of Functions: Differentiability and Matrices

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

Continuous Functions: Derivability and Global Properties

Covers continuous functions, derivability, and global properties in differential calculus.

Differentiability and Tangent Planes

Explores differentiability in functions and geometric interpretation of tangent planes.

Counter-example: Continuity and Differentiability

Explores a counter-example of a function that is continuous and differentiable on an interval, challenging students to understand limits geometrically.

Differentiability: Understanding Limits and Continuity

Covers the concept of differentiability, focusing on understanding limits and continuity.