Derivable Functions: Partial Derivatives and Jacobian Matrix

Related lectures (21)

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

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

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

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

Covers the concept of partial derivatives and their applications in mathematical analysis.

Explores linear differential of functions, continuity, differentiability, and matrix representation.

Explains partial and directional derivatives, and functions' derivability.

Explores differentiability in functions and the role of gradients in directional derivatives.

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

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