Lectures related to Differentiability and Tangent Planes

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

Explores directional derivatives, tangent planes, and normal vectors in surfaces.

Explores conditions for non-differentiability in multivariable calculus and the implications of the differentiability theorem.

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

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

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

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

Explores the properties and methods of differentiable functions, including strong recurrence and demonstration techniques.

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

Covers directional derivative, differentiability, and gradient matrices, emphasizing the first order.

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

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

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

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

Covers functions with values in R^m, discussing limits, partial derivatives, and differentiability.

Explores directional derivatives in two-variable functions and extremum points.

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

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

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

Explains the concept of directional derivatives and their applications in differentiating functions.