Application To Optimization
See also: maxima and minimaAs 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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““Five o’clock tea” is a phrase our “rude forefathers,” even of the last generation, would scarcely have understood, so completely is it a thing of to-day; and yet, so rapid is the March of the Mind, it has already risen into a national institution, and rivals, in its universal application to all ranks and ages, and as a specific for “all the ills that flesh is heir to,” the glorious Magna Charta.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)