first derivative


Also found in: Thesaurus, Medical, Legal, Financial, Encyclopedia, Wikipedia.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.first derivative - the result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx
curvature - the rate of change (at a point) of the angle between a curve and a tangent to the curve
figuring, reckoning, calculation, computation - problem solving that involves numbers or quantities
partial, partial derivative - the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant
References in periodicals archive ?
The chemical potential was defined as the first derivative of the total energy with respect to the number of electrons.
First-order (or discontinuous) phase transitions exhibit a discontinuity in the first derivative of f with respect to some thermodynamic variable.
Asymmetric double sigmoidal fit was used due to the asymmetric shape of the first derivative of storage modulus peak associated with the COC while for other thermal transitions, the Gaussian fit was used.
A simple and rapid first derivative synchronous spectrofluorimetric method for the simultaneous quantification of TMH and SFS was developed and validated as per the ICH guidelines.
The numerator is a marginal utility expressed as the first derivative of the utility function multiplied by the decision weight and the value of the potential loss.
The most known operational identities that involve the exponential of the first derivative are formulas for the shift and dilation operators
Another condition may arise by requiring the first derivative dMt(r)/dr to vanish at a critical point over the interval [rf, rj which corresponds to a given local extremum (maximum or minimum) [14].
TRG Statistical term Simultaneous equation First derivative Mean centering Mean 100.66 99.43 99.99 SD[+ or -] 0.10 0.78 0.14 % RSD 0.10 0.78 0.14 n 3 3 3 V 0.01 0.61 0.02 TAD Statistical term Simultaneous equation First derivative Mean centering Mean 100.96 99.31 101.24 SD[+ or -] 0.86 0.45 0.08 % RSD 0.85 0.45 0.08 n 3 3 3 V 0.74 0.20 0.01 Note.
"Whatever the mechanism, the 5-6 year advanced warning of increased seismic hazards afforded by the first derivative of the LoD is fortuitous, and has utility in disaster planning," the scientists said.
Since the difference between each successive output follows a linear pattern, it can be deduced that the first derivative of the function in question is that of a linear nature.