Implicit Functions: Lagrange Multipliers

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

Explores Taylor series expansions for derivatives and integrals, including practical applications.

Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.

Explores the theory of implicit functions, their properties, and illustrative examples.

Covers the definition of differentiable functions and explores the representation of the remainder in derivatives.

Covers differentiable functions, derivatives, and tangent planes in mathematics.

Introduces the study of functions defined by power series and emphasizes the importance of separately considering boundary points.

Explores differentiable functions in R², including vector fields and coordinate transformations.

Explores the extension of the chain rule to higher dimensions and compositions of functions.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.