Differentiability of Functions: Properties and Methods

Related lectures (21)

Page 1 of 3

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

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

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.

Explains partial and directional derivatives, and functions' derivability.

Explores functions of class C^p, emphasizing continuity and differentiability properties.

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

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

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

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

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