Derivatives and Continuity

Related lectures (28)

Page 2 of 3

Explores linear applications, derivatives, Jacobian matrix, composition of functions, and matrix products.

Demonstrates how to use a specific function to prove Rolle's Theorem.

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

Explores generalized finite increments, derivatives, reciprocals, and Bernoulli-L'Hospital rule.

Explores derivatives, local extrema, and function variation in mathematical analysis.

Explores Taylor series expansion, derivatives, uniqueness, and applications in function approximation.

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Explores continuity, differentiability, boundedness, and extrema of functions in multiple variables.

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

Explains partial derivatives, Hessienne matrix, and their properties.