Lectures related to Differential Calculus: Derivative of a Function

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

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Explores differentiability, tangent lines, and graph interpretation.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Covers Taylor series, polynomial approximations for function behavior, coefficient finding, and error estimation.

Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.