Lectures related to Theorems of Continuity and Derivative Number

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.

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

Explores finding tangent equations and slopes through derivatives.

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

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

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

Covers the definition of derivative, examples, Newton's quotient, and continuity.

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

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

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Covers the theorem of finite increments in derivative functions.

Explores the conditions for a function to be continuous and differentiable.

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

Covers the derivative of the reciprocal function and its properties.

Explains partial derivatives, Hessienne matrix, and their properties.

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

Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.