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There is a page named "Higher-order derivative" on Wikipedia

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  • additional prime marks. The higher order derivatives can be applied in physics; for example, while the first derivative of the position of a moving object...
    55 KB (7,183 words) - 07:01, 15 May 2024
  • second-order derivative test. As shown below, the second-derivative test is mathematically identical to the special case of n = 1 in the higher-order derivative...
    13 KB (1,957 words) - 18:20, 25 September 2023
  • Thumbnail for Fourth, fifth, and sixth derivatives of position
    derivatives being velocity, acceleration, and jerk, respectively. The higher-order derivatives are less common than the first three; thus their names are not...
    11 KB (1,793 words) - 15:32, 29 April 2024
  • L^{n-1}(X,Y)),} higher order Gateaux derivative cannot be defined in this way. Instead the n {\displaystyle n} th order Gateaux derivative of a function...
    15 KB (2,497 words) - 01:38, 24 April 2024
  • Thumbnail for Numerical differentiation
    variable will prevent this. Higher-order methods for approximating the derivative, as well as methods for higher derivatives, exist. Given below is the...
    17 KB (2,280 words) - 17:55, 26 June 2024
  • is a common example, since it maps a function to its derivative, also a function. Higher-order functions should not be confused with other uses of the...
    24 KB (2,627 words) - 09:54, 19 July 2024
  • _{yx}f=\partial _{y}\partial _{x}f.} Higher-order partial and mixed derivatives: ∂ i + j + k f ∂ x i ∂ y j ∂ z k = f ( i , j , k ) = ∂...
    24 KB (4,150 words) - 19:59, 5 July 2024
  • Thumbnail for Product rule
    generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts. Discovery of this rule is...
    20 KB (4,117 words) - 06:08, 22 April 2024
  • In calculus, the quotient rule is a method of finding the derivative of a function that is the ratio of two differentiable functions. Let h ( x ) = f (...
    8 KB (1,933 words) - 21:20, 15 February 2024
  • in powers of δf, the coefficient of δf in the first order term is called the functional derivative. For example, consider the functional J [ f ] = ∫ a...
    29 KB (5,115 words) - 06:37, 16 May 2024
  • Thumbnail for Five-point stencil
    "neighbors". It is used to write finite difference approximations to derivatives at grid points. It is an example for numerical differentiation. In one...
    8 KB (1,788 words) - 07:20, 15 May 2024
  • descent, as well as other learning approaches that are based on higher order derivative information. Differentiable programming has found use in a wide...
    10 KB (938 words) - 08:58, 20 February 2024
  • Thumbnail for Displacement (geometry)
    kinematics. By extension, the higher order derivatives can be computed in a similar fashion. Study of these higher order derivatives can improve approximations...
    6 KB (717 words) - 10:30, 11 July 2024
  • general case of higher order derivates. Lars Knudsen, in the same year, was able to show how the concept of higher order derivatives can be used to mount...
    5 KB (783 words) - 05:19, 26 August 2023
  • a method used to differentiate functions by employing the logarithmic derivative of a function f, ( ln ⁡ f ) ′ = f ′ f ⟹ f ′ = f ⋅ ( ln ⁡ f ) ′ . {\displaystyle...
    7 KB (1,520 words) - 17:58, 26 February 2024
  • Thumbnail for Sobel operator
    also presented by Farid and Simoncelli. They also investigate higher-order derivative schemes. In contrast to the work of Scharr, these filters are not...
    17 KB (2,562 words) - 19:36, 14 May 2024
  • Thumbnail for Second derivative
    second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative can be...
    15 KB (2,013 words) - 20:23, 29 April 2024
  • f^{\mathrm {vi} }(x),\ldots ,} to denote fourth, fifth, sixth, and higher order derivatives. Other authors use Arabic numerals in parentheses, as in f ( 4...
    35 KB (5,086 words) - 12:25, 21 May 2024
  • Thumbnail for Position (geometry)
    these higher-order derivatives can improve approximations of the original displacement function. Such higher-order terms are required in order to accurately...
    10 KB (1,263 words) - 08:54, 20 February 2024
  • (known in calculus as partial derivatives; first-order or higher) representing the sensitivity of the price of a derivative instrument such as an option...
    44 KB (5,398 words) - 04:57, 28 June 2024
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