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Multivariate optimization

Maximization on a triangle

Linear models

Local maximum - Examples

Local maximum - Second-order condition

Local maximum - Definition

Sufficient condition - More examples

Sufficient condition - Second-order derivative

Sufficient condition

Necessary conditions - More examples

Necessary conditions

Convexity and concavity

Inflection points

Economic examples and the Envelope Theorem

Local maxima and second derivatives

Local extrema - Examples

Local maximum points

The extreme value theorem

Optimization - More economic examples

Optimization - Economic examples

Sufficient condition - Second-order derivative

Sufficient condition

Stationary points

Univariate optimization

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