Implicit Functions: Theory and Examples

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Explores the theory of optimal transport, focusing on Lipschitz functions and uniqueness of solutions.

Explores implicit functions theory, derivatives, solutions existence, and applications.

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Covers the definitions of differentiable and derivable functions and their geometric interpretation.

Explores implicit functions and tangent lines to find local minimum points.

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Explores differentiability, matrices, Jacobian matrix, and derivatives calculation.

Explores the implicit functions theorem, showcasing examples of implicit differentiation and function definition.

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.