Local Extrema — Topic Summaries
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Multivariable Calculus 12 | Second Order Partial Derivatives
Higher order partial derivatives matter because they extend the familiar “first derivative test” for local extrema into multivariable settings—where...
Multivariable Calculus 18 | Local Extrema
Local extrema in multivariable calculus are defined by comparing function values only within a small neighborhood around a point, not across the...
Multivariable Calculus 19 | Examples for Local Extrema
Local extrema in multivariable calculus hinge on two tests: the gradient must vanish at a critical point, and the Hessian matrix must have the right...
Multivariable Calculus 18 | Local Extrema [dark version]
Local extrema in multivariable calculus are defined by comparing function values only inside a small neighborhood around a specific point, not across...