# first derivative

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## first derivative

[¦fərst də′riv·əd·iv]
(mathematics)
The derivative of a function, considered as a function of the independent variable just as was the original function from which the derivative was taken.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Second-order phase transitions include the ferromagnetic phase transition observed in materials such as iron, where the magnetization (which is the first derivative of the free energy with respect to the applied magnetic field) increases continuously from zero as the temperature is lowered below a critical temperature called the Curie temperature (the temperature at which the material lose its permanent magnetic properties, to be replaced by the magnetic properties induced by the external magnetic field).
(a) First derivative of storage modulus of COC/EOC blend and COC/EOC/MWCNT nanocomposites prepared by different orders of feedings.
Generating Functions, First Derivative, and Taylor's Formula.
With the continuity of the spline and their first derivatives at x (i = 2,3, ..., m), we can get
Yet, it is known from Calculus  that if [B.sup.2] - 3AC [less than or equal to] 0 this function will have no local extrema over its domain of definition and therefore, except (2) and (3), no additional conditions can be set regarding the first derivative of [v.sub.i] (r).
The first derivative, or the gradient function of the quadratic function, would follow the number pattern illustrated by the increasing difference between the outputs whereas the second derivative would follow the pattern represented by the constant difference between the difference of the difference of the outputs.
However, as there are no boundary conditions given for the first derivative, we must solve this in the typical manner of interpolating the unknown function and obtaining the first derivative values through differentiation of the result.
(c) First derivative spectra of the XAES KVV showing the D parameter estimated as 22 eV.
The first derivative spectrum was recorded and the absorbance values were plotted against concentrations to obtain the calibration curves.
The first derivative of the Hat wavelet functions is square integrable.
"First derivative + SNV" was chosen for wheat bran and corn flour, while "SNV" was chosen for rosin powder.

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