Partial Derivatives and Applications

Related lectures (22)

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Explains partial and directional derivatives, and functions' derivability.

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

Explores differentiable functions, Taylor approximations, and directional derivatives in open sets.

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 the geometric interpretation of derivatives and properties of derivable functions.

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

Explores the existence of the gradient in R2 and its implications on derivability and directional derivatives.

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

Explores properties of functions with continuous partial derivatives in open subsets of Rn.