Derivatives and Continuity

Related lectures (23)

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Explains partial and directional derivatives, and functions' derivability.

Explores functions with values in R^m, gradients, derivatives, and the Jacobian matrix in multiple dimensions.

Explores directional derivatives, showcasing scenarios where they exist but the function is not differentiable.

Covers the definitions and properties of partial derivatives and gradients in mathematical contexts.

Explores differentiability, partial derivatives, Schwarz's theorem, and function continuity in mathematical analysis.

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

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.

Explores the geometric interpretation of derivatives and properties of derivable functions.

Explores directional derivatives, tangent planes, and function differentiability in multivariable calculus.

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.