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.