Implicit Functions: Theory and Applications

Related lectures (27)

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

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

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

Covers derivable functions, partial derivatives, Jacobian matrix, and rule of composition.

Covers the theorem of implicit functions for n>2, with examples demonstrating the application of the theorem.

Covers the basics of implicit differentiation, focusing on techniques and applications.

Explains the Implicit Functions Theorem for n=2 and n=3 cases.

Covers implicit functions, Taylor polynomials, and tangent equations.

Covers derivatives, notations, composition of functions, and multiple derivatives in advanced analysis.

Explores implicit solutions for differential equations and their applications in different scenarios.