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There is a page named "Higher-order derivative test" on Wikipedia
- In calculus, a derivative test uses the derivatives of a function to locate the critical points of a function and determine whether each point is a local...13 KB (1,957 words) - 18:20, 25 September 2023
- 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...56 KB (7,192 words) - 12:39, 12 August 2024
- by analyzing the derivatives further, using the first derivative test, the second derivative test, or the higher-order derivative test. Intuitively, a...16 KB (2,716 words) - 20:23, 8 August 2024
minimum, or neither by using the first derivative test, second derivative test, or higher-order derivative test, given sufficient differentiability. For...17 KB (2,094 words) - 19:34, 9 August 2024
In mathematics, the second partial derivative test is a method in multivariable calculus used to determine if a critical point of a function is a local...8 KB (1,234 words) - 01:43, 6 May 2024
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- _{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 (4,152 words) - 06:58, 23 July 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
- Fractional calculus (redirect from Fractional derivative)mathematics and mathematical analysis, a fractional derivative is a derivative of any arbitrary order, real or complex. Its first appearance is in a letter...57 KB (7,179 words) - 13:54, 11 August 2024
- differentiation process, that is, apply derivatives more than once, obtaining derivatives of second and higher order. Higher derivatives can also be defined for functions...23 KB (3,555 words) - 03:28, 7 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 (2,515 words) - 22:50, 4 August 2024
- the Fréchet derivative is a derivative defined on normed spaces. Named after Maurice Fréchet, it is commonly used to generalize the derivative of a real-valued...23 KB (4,690 words) - 07:04, 19 May 2024
- the exterior derivative extends the concept of the differential of a function to differential forms of higher degree. The exterior derivative was first described...21 KB (3,305 words) - 23:41, 13 June 2024
- measurements with a low-pass filter in order to remove higher-frequency noise components. As low-pass filtering and derivative control can cancel each other out...83 KB (11,844 words) - 17:37, 15 August 2024
Differential calculus (section Derivative)points. In higher dimensions, a critical point of a scalar valued function is a point at which the gradient is zero. The second derivative test can still...31 KB (4,447 words) - 09:20, 21 April 2024- Notation for differentiation (redirect from Derivative notation)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
- Leibniz integral rule (redirect from Derivative of Riemann integral)of a derivative and an integral (differentiation under the integral sign; i.e., Leibniz integral rule); the change of order of partial derivatives; the...52 KB (11,096 words) - 09:31, 5 August 2024
Product rule (section Higher derivatives)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- Chain rule (section Higher derivatives)formula that expresses the derivative of the composition of two differentiable functions f and g in terms of the derivatives of f and g. More precisely...38 KB (7,081 words) - 15:31, 6 May 2024
stability of the system, higher order derivatives can be examined. The state is unstable if the lowest nonzero derivative is of odd order or has a negative value...9 KB (1,042 words) - 11:46, 26 July 2024
- photographs might pass the ordinary test for originality; they claim that as derivative works, the photos are subject to a higher standard of originality. A leading
- the first and second derivatives of a function, I asked my father what significance there might be to derivatives of higher order than two. Naturally,
- Rules 3.3 Derivatives of Trigonometric Functions 3.4 Chain Rule 3.5 Higher Order Derivatives: an introduction to second order derivatives 3.6 Implicit