Lectures related to Derivatives and Continuity

Explores the existence of the gradient in R2 and its implications on derivability and directional derivatives.

Covers methods of demonstrations and differential calculus of functions of several variables.

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

Explores differentiability, gradients, and the Mean Value Theorem in open sets.

Explores differentiability, gradients, and the Mean Value Theorem for functions.

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

Explores partial derivatives, gradient, directional derivatives, and differentiability in determining slopes.

Explains partial derivatives, Hessienne matrix, and their properties.

Introduces partial derivatives, directional derivatives, and differentiability of functions with examples and the Schwartz theorem.

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

Explains partial and directional derivatives, and functions' derivability.

Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.

Explores directional derivatives, showcasing scenarios where they exist but the function is not differentiable.

Covers the definitions and properties of partial derivatives and gradients in mathematical contexts.

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

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

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

Explores the geometric interpretation of derivatives and properties of derivable functions.

Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.

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