Implicit Function Theorem: Local Extrema

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Covers the essential elements for studying a function, including its domain, behavior at boundaries, limits, derivatives, and points of inflection.

Explores partial derivatives, Taylor formula, examples, and extrema of functions.

Explores inflection points in functions, emphasizing the role of the second derivative.

Explores convexity, concavity, and limiting developments for functions, emphasizing extrema and derivative properties.

Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.

Covers implicit curves, regular and critical points, convexity, concavity, and inflection points.

Explores applications of differential calculus, including theorems, convexity, extrema, and inflection points.

Explores limits, derivation rules, integrals, and exact differentials for practical applications.

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