Linear Approximation and Derivative Parametric

Related lectures (30)

Page 2 of 3

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

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

Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.

Covers the definition of differentiable functions and introduces the concept of differential functions.

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

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

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the derivative of the composition of two functions and the chain rule theorem.

Explores differentiability, tangent lines, and graph interpretation.