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 ?
psi](*) is valid for any 0 < q [less than or equal to] +[infinity] and for any infinitely differentiable function n, whose support is contained in [-1,1].
x]) denotes the set of all continuously differentiable functions from I to [R.
n](x)} is a regular sequence of infinitely differentiable functions converging to the Dirac delta-function [delta](x).
Furthermore, assume that there exists a differentiable function z such that
Keywords and Phrases: Ostrowski and Gruss type inequalities, Differentiable functions, Estimates, Taylor's formula, Lagrange form of reminder.
The differentiable function f on the [phi]-convex set K is said to be a log-[phi]-invex function with respect to [phi], if
The differentiable function f is said to be pseudoinvex if there exists a vector function r such that
The analysis used in the proofs is elementary and based on the integral representation for n-time differentiable function given in [3, p.
with t([theta]) a sufficiently differentiable function and m [greater than or equal to] 0 an integer.
In the microlocal analysis we deal with the space of symbols which are infinitely differentiable functions and make it into Frechet space by means of seminorms [5].