Lectures related to Differential Functions and Tangent Plan

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

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

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

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

Explores differentiable functions in R², including vector fields and coordinate transformations.

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

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Introduces the study of functions defined by power series and emphasizes the importance of separately considering boundary points.

Explores differentiability, tangent lines, and graph interpretation.

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

Explores differentiability in functions and geometric interpretation of tangent planes.

Explores differentiability in two variables and the chain rule for compositions.

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

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

Explains partial derivatives, Hessienne matrix, and their properties.

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

Explores derivatives, Hessians, and Taylor approximations for differentiable functions.

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

Covers the derivative of the reciprocal function and its properties.

Explores differentiable functions, Taylor approximations, and directional derivatives in open sets.