derivative

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Related to Differentiable function: Continuous function

de·riv·a·tive

(dĕ-riv'ă-tiv),
1. Relating to or producing derivation.
2. Something produced by modification of something preexisting.
3. Specifically, a chemical compound that may be produced from another compound of similar structure in one or more steps, as in replacement of H by an alkyl, acyl, or amino group.

derivative

/de·riv·a·tive/ (dĕ-riv´ah-tiv) a chemical substance produced from another substance either directly or by modification or partial substitution.

derivative

[dəriv′ətiv]
Etymology: L, derivare, to turn away
anything that originates in another substance or object. For example, organs and tissues are derivatives of the primordial germ cells. Chemical derivatives may be produced to confirm identification of a compound or to aid in the analysis of a compound.

de·riv·a·tive

(dĕ-riv'ă-tiv)
1. Relating to or producing derivation.
2. Something produced by modification of something preexisting.
3. Specifically, a chemical compound produced from another compound in one or more steps, as in replacement of H by an alkyl, acyl, or amino group.

derivative

the result of the calculation (usually with calculus) of the change of one variable with respect to another. Also alludes to the number of 'steps' of calculus required (e.g. acceleration is the second derivative of displacement with respect to time). See also differentiation.

de·riv·a·tive

(dĕ-riv'ă-tiv)
Chemical compound that may be produced from another compound of similar structure in one or more steps.

derivative (dēriv´ətiv),

n a chemical substance that is the result of a chemical reaction.
References in periodicals archive ?
A pair of infinitely differentiable functions with compact support ([eta], [theta]) is called a plane resolution of unity (on the unit ball
However, we found that the customary visual representation of the derivative of a function at a point cannot be reliably used to discover its value, even when the function is visualizable as a curve; and the customary visual representations of continuity and differentiability cannot be reliably used to draw conclusions about all continuous or all differentiable functions.
Feinstein, Normed algebras of differentiable functions on compact plane sets, Indian J.
Let f : I [right arrow] R be a differentiable function on I such that n [member of] N, k > 0, and f' [member of] L[a, b], where 0 [less than or equal to] a < b < [infinity].
Let f : K := [a, a + [eta] (b, a)] [right arrow] R be a differentiable function on K[degrees] (the interior of K) and a, b [member of] K[degrees] with a < a + [eta] (b, a).
Alsina and Ger were the first authors who investigated the Hyers-Ulam stability of differential equations: They proved in (1) that if a differentiable function y: I [right arrow] R satisfies the differential inequality [absolute value of y'(t) - y(t)] [less than or equal to] [epsilon], where I is an open subinterval of R, then there exists a differentiable function [y.
Let z be any differentiable function and define w by the Riccati substitution
where g is a twice continuously differentiable function.
Pratt (1964) suggests a formula for comparing two agents' risk aversion: Agent A is more risk averse than agent B if there exists an increasing, strictly concave, and twice differentiable function |Phi~ such that |U.
In the second half of the 19th century, the first examples for what we shall refer as (inmathematical folklore) pathological properties rose interest among mathematicians, and in 1875 Paul du Bois-Reymond published the proof for the existence of a continuous nowhere differentiable function.
2] of them equal 2 (meaning Riemann-Liouville type derivative in the second form) and [mathematical expression not reproducible] is the Riemann-Liouville type fuzzy fractional differentiable function of order 0 < [beta] < n, [beta] = l,2, .
rho]]) is strictly positive and differentiable function on J, then for every p, q, u, v [member of]J such that p [less than or equal to] u, q [less than or equal to] v, we have