Lectures related to Derivative of a Function: Tangent Equation

Covers the analysis of speed variation using differential equations and small time intervals.

Explains the Jacobian matrix and derivative of composite functions with examples.

Covers the concept and calculation of directional derivatives in multivariable calculus.

Explains partial derivatives, Hessienne matrix, and their properties.

Covers the properties and operations of convex functions.

Explores the theorems of continuity and derivative numbers, including strict monotonicity and the Newton ratio.

Explores the definition of connections for smooth vector fields on manifolds.

Covers the concept of partial derivatives and their applications in mathematical analysis.

Covers the definition of a function being derivable at a point.