Definition of Differentiable Functions

Related lectures (29)

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

Covers the definition of derivatives and provides examples of differentiable functions.

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

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

Explains partial derivatives, Hessienne matrix, and their properties.

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

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

Explores Taylor series expansions for derivatives and integrals, including practical applications.

Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.

Explores the extension of the chain rule to higher dimensions and compositions of functions.