Lectures related to Derivative: Linear Approximation

Explores differentiability in analysis, discussing conditions for functions to be differentiable and continuous.

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

Explores the connection between limit existence and function continuity, emphasizing derivative properties and function graphs.

Explores derivatives, reciprocal functions, and continuity of functions with examples and formulas.

Covers derivability, differentiability, rules of differentiation, and the relationship between differentiability and continuity.

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

Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.