Lectures related to Derivability and Differentiability

Explores finding the equation of the tangent line to a function's graph at a point.

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

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

Covers algebraic operations on derivatives and the concept of continuity and differentiability.

Covers the computation of derivatives and the properties of differentiable functions.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.

Explores differentiability, tangent lines, and graph interpretation.

Explores Taylor polynomials, including order, development, limits, and algebraic operations.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Covers limits, algebraic operations, and infinite limits with examples of functions' behavior near limit points.

Explores algebraic operations on Taylor expansions and the development of various functions.

Explores differentiability in two variables and the chain rule for compositions.

Explores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.

Explores algebraic operations for derivatives, including addition, multiplication, and composition of functions on an interval.

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

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

Explains differentiability in LR functions and introduces the Jacobian matrix.

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

Covers the demonstration of the chain rule and the theorem of Rolle.