Fermat's Theorem (stationary Points) - Application To Optimization

Application To Optimization

See also: maxima and minima

As a corollary, global extrema of a function f on a domain A occur only at boundaries, non-differentiable points, and stationary points. If is a global extremum of f, then one of the following is true:

  • boundary: is in the boundary of A
  • non-differentiable: f is not differentiable at
  • stationary point: is a stationary point of f

Read more about this topic:  Fermat's Theorem (stationary Points)

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