Lectures related to Partial Derivatives: Extrema and Hessians

Covers partial derivatives, gradient, and second partial derivatives with their applications.

Covers Taylor polynomials, function properties, double integrals, partial derivatives, and function boundaries.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Explores simple examples of partial differentiation, demonstrating how to calculate partial derivatives and gradients in various scenarios.

Explains how to find local extrema of functions using derivatives and critical points.

Covers derivable functions, partial derivatives, Jacobian matrix, and rule of composition.

Covers derivatives, hyperbolic functions, and theorems of Rolle and finite increments.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.