Theorem and Explanations

Related lectures (29)

Page 1 of 3

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

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

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

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

Covers the theory of finite differences and the mean value theorem.

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

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

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

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

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.