derivative on left
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Derivative (generalizations) — Derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Derivatives in analysis In real, complex, and functional… … Wikipedia
Derivative — This article is an overview of the term as used in calculus. For a less technical overview of the subject, see Differential calculus. For other uses, see Derivative (disambiguation) … Wikipedia
Derivative (examples) — Example 1Consider f ( x ) = 5:: f (x)=lim {h ightarrow 0} frac{f(x+h) f(x)}{h} = lim {h ightarrow 0} frac{f(x+h) 5}{h} = lim {h ightarrow 0} frac{(5 5)}{h} = lim {h ightarrow 0} frac{0}{h} = lim {h ightarrow 0} 0 = 0The derivative of a constant… … Wikipedia
Derivative work — L.H.O.O.Q. (1919). Derivative work by Marcel Duchamp based on the Mona Lisa (La Gioconda) by Leonardo da Vinci. Also known as The Mona Lisa With a Moustache. Often used by law professors to illustrate legal concept of derivative work. In United… … Wikipedia
Directional derivative — In mathematics, the directional derivative of a multivariate differentiable function along a given vector V at a given point P intuitively represents the instantaneous rate of change of the function, moving through P in the direction of V. It… … Wikipedia
Lie derivative — In mathematics, the Lie derivative, named after Sophus Lie by Władysław Ślebodziński, evaluates the change of one vector field along the flow of another vector field.The Lie derivative is a derivation on the algebra of tensor fields over a… … Wikipedia
Functional derivative — In mathematics and theoretical physics, the functional derivative is a generalization of the directional derivative. The difference is that the latter differentiates in the direction of a vector, while the former differentiates in the direction… … Wikipedia
Time derivative — A time derivative is a derivative of a function with respect to time, usually interpreted as the rate of change of the value of the function. The variable denoting time is usually written as t,.NotationA variety of notations are used to denote… … Wikipedia
Reduced derivative — In mathematics, the reduced derivative is a generalization of the notion of derivative that is well suited to the study of functions of bounded variation. Although functions of bounded variation have derivatives in the sense of Radon measures, it … Wikipedia
Tensor derivative (continuum mechanics) — The derivatives of scalars, vectors, and second order tensors with respect to second order tensors are of considerable use in continuum mechanics. These derivatives are used in the theories of nonlinear elasticity and plasticity, particularly in… … Wikipedia
Exterior derivative — In differential geometry, the exterior derivative extends the concept of the differential of a function, which is a form of degree zero, to differential forms of higher degree. Its current form was invented by Élie Cartan.The exterior derivative… … Wikipedia
