Local Inversion Theorem

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Page 2 of 3

Covers parametric functions, integrals, and the origin of plasticity in metals.

Focuses on determining local extremum points of functions through various examples.

Explains extrema of functions in several variables, stationary points, saddle points, and the role of the Hessian matrix.

Covers the theorems on continuous functions and extremums in compact sets.

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

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

Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.

Explains local and absolute extremums of functions and the classification of critical points.

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Covers Taylor approximation and extrema in multivariable functions with examples.