Differentiability: Theorem and Mean Value Theorem

Related lectures (29)

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

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Explores differentiability, matrices, and composite functions through examples and mathematical notations.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Explores functions of class C^p, Hessian matrices, and methods to verify differentiability at a point.

Explains differentiability in multivariable functions and the geometric interpretation of tangent planes.

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

Covers Taylor polynomials, function properties, double integrals, partial derivatives, and function boundaries.

Explores the increment theorem and derivatives in calculus, focusing on polygonal valleys and curve traces.