|
|
Definition of First derivative
1. Noun. The result of mathematical differentiation; the instantaneous change of one quantity relative to another; df(x)/dx.
Specialized synonyms: Curvature, Partial, Partial Derivative
Generic synonyms: Calculation, Computation, Figuring, Reckoning
Derivative terms: Derivative, Differential
Lexicographical Neighbors of First Derivative
Literary usage of First derivative
Below you will find example usage of this term as found in modern and/or classical literature:
1. Analytic Geometry by Norman Colman Riggs (1910)
"The results of this article may be stated as follows: For all values of x for
which the first derivative curve is rising toward the right, the primitive ..."
2. Elements of the Differential and Integral Calculus by William Anthony Granville (1904)
"Find the first derivative of the function. Second step. Set the first derivative
equal to zero f and solve the resulting equation for real roots in order to ..."
3. A Treatise on Ordinary and Partial Differential Equations by William Woolsey Johnson (1902)
"Removal of the Term containing the first derivative. 155. If, in Art. 153, we
take P, = o, the transformed equation will not contain the first derivative. ..."
4. First Course in the Theory of Equations by Leonard Eugene Dickson (1922)
"Concerning the fact that f"(x) is equal to the first derivative of /'(x) and
that, in general, the fcth derivative /<4)(x) of /(x) is equal to the first ..."
5. The Theory of Functions of a Real Variable and the Theory of Fourier's Series by Ernest William Hobson (1907)
"... or first derivative of G, and may be denoted by 6r'. In case the set G/ contains
an infinite number of points, it possesses itself a derivative set 6r", ..."
6. The Principles of Mathematics by Bertrand Russell (1903)
"A series is perfect when it coincides with its first derivative*. ... The assemblage
of all limiting-points is called the first derivative of the series. ..."
Other Resources:
