Lectures related to Tangent Planes and Derivatives

Explores derivability, continuity, and composite functions with illustrative examples.

Explores Hessians, directional derivatives, and function continuity in advanced analysis.

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

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

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

Explores the study of local minima and maxima through derivatives and sign changes.

Explains partial and directional derivatives, and functions' derivability.

Explores differentiability, tangent lines, and graph interpretation.