Concept
Differentiable function
Related lectures (424)
Functions of Class C^p
Explores functions of class C^p, emphasizing continuity and differentiability properties.
Partial Derivatives of Order 3
Covers the calculation of partial derivatives of order 3 and the concept of differentiability in functions.
Implicit Functions: Theory and Examples
Explores the theory of implicit functions, their properties, and illustrative examples.
Supporting hyperplanes
Covers supporting hyperplanes for approximating functions' graphs in different dimensions using hyperplanes and linear approximations.
Continuity and Differentiability of Functions
Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Taylor Polynomials and Function Properties
Covers Taylor polynomials, function properties, double integrals, partial derivatives, and function boundaries.
Directional Derivatives
Explores directional derivatives, showcasing scenarios where they exist but the function is not differentiable.
Differential Calculus: Applications and Reminders
Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.
Derivability and Differentiability
Covers derivability, differentiability, rules of differentiation, and the relationship between differentiability and continuity.