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  2. Derivative test - Wikipedia

    en.wikipedia.org/wiki/Derivative_test

    In conjunction with the extreme value theorem, it can be used to find the absolute maximum and minimum of a real-valued function defined on a closed and bounded interval. In conjunction with other information such as concavity, inflection points, and asymptotes , it can be used to sketch the graph of a function.

  3. Maximum and minimum - Wikipedia

    en.wikipedia.org/wiki/Maximum_and_minimum

    The unnormalised sinc function (red) has arg min of {−4.49, 4.49}, approximately, because it has 2 global minimum values of approximately −0.217 at x = ±4.49. However, the normalised sinc function (blue) has arg min of {−1.43, 1.43}, approximately, because their global minima occur at x = ±1.43, even though the minimum value is the same ...

  4. 256 (number) - Wikipedia

    en.wikipedia.org/wiki/256_(number)

    256 is a composite number, with the factorization 256 = 2 8, which makes it a power of two. 256 is 4 raised to the 4th power, so in tetration notation, 256 is 2 4. [1] 256 is the value of the expression , where =. 256 is a perfect square (16 2). 256 is the only 3-digit number that is zenzizenzizenzic.

  5. Greatest element and least element - Wikipedia

    en.wikipedia.org/wiki/Greatest_element_and_least...

    In a totally ordered set the maximal element and the greatest element coincide; and it is also called maximum; in the case of function values it is also called the absolute maximum, to avoid confusion with a local maximum. [1] The dual terms are minimum and absolute minimum. Together they are called the absolute extrema. Similar conclusions ...

  6. Extreme value theorem - Wikipedia

    en.wikipedia.org/wiki/Extreme_value_theorem

    The extreme value theorem was originally proven by Bernard Bolzano in the 1830s in a work Function Theory but the work remained unpublished until 1930. Bolzano's proof consisted of showing that a continuous function on a closed interval was bounded, and then showing that the function attained a maximum and a minimum value.

  7. Maximal and minimal elements - Wikipedia

    en.wikipedia.org/wiki/Maximal_and_minimal_elements

    The maximum of a subset of a preordered set is an element of which is greater than or equal to any other element of , and the minimum of is again defined dually. In the particular case of a partially ordered set , while there can be at most one maximum and at most one minimum there may be multiple maximal or minimal elements.

  8. Fermat's theorem (stationary points) - Wikipedia

    en.wikipedia.org/wiki/Fermat's_theorem...

    Fermat's theorem gives only a necessary condition for extreme function values, as some stationary points are inflection points (not a maximum or minimum). The function's second derivative , if it exists, can sometimes be used to determine whether a stationary point is a maximum or minimum.

  9. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    Every power of one equals: 1 n = 1 ... 4: 16: 64: 256: 1 024: 4 096: 16 384: 65 536: ... number can be obtained by taking the n th root of the absolute value and ...