Lectures related to Generalizations of the derivative

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.

Covers weak derivatives, their properties, and applications in functional analysis.

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

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

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

Explains partial derivatives, Hessienne matrix, and their properties.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

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

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.

Explores partial derivatives and functions in multivariable calculus, emphasizing their importance and practical applications.

Explores distribution interpolation spaces, convergence of sequences, derivatives, weak derivatives, and their applications in minimization problems.

Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.

Explores differentiability in functions and the role of gradients in directional derivatives.

Introduces derivatives, forward contracts, options, and their financial uses.

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

Covers partial derivatives, gradient, and second partial derivatives with their applications.

Explains partial derivatives, generalization, and second order derivatives with examples and mathematical notations.

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

Explores tangent planes, implicit functions, and directional derivatives in relation to graphs of functions.