Differentiability and Matrices

This lecture covers the concept of differentiability, including the definition and properties of differentiable functions, as well as the matrix representation of derivatives. It also explores the Jacobian matrix and its applications in determining differentiability. The lecture delves into the calculation of derivatives using matrices and provides insights into the theory of finite increments. Additionally, it discusses the conditions for differentiability and the implications of differentiable functions in various contexts.