The function F(x) is called the antiderivative of the function f(x) on the interval [a,b] if at all points of this interval F'(x) = f(x). Same as primitive.
→ anti- + → derivative.
Fr.: 1) dérivé; 2; 3) dérivée
1) General: Derived from another; not original or primitive.
From M.E. derivatif, from L.L. derivativus, from derivat(us), p.p. of derivare, → derive + -ivus.
Vâxané, noun from vâxan, present stem of vâxanidan, → derive.
Fr.: dérivée première
The simplest mathematical → differentiation of one quantity relative to another; df(x)/dx. It is the same as → derivative, contrasted with the → second derivative or the nth derivative.
→ first; → derivative.
first derivative test
âzmun-e vâxane-ye naxost
Fr.: teste de la dérivée première
In → calculus, a method for determining whether an → inflection point is a → local minimum, → local maximum, or neither.
→ first; → derivative; → test.
first-order partial derivative
vâxane-ye pâri-ye râye-ye naxost
Fr.: dérivée partielle du premier degré
For a → function with several → variables, the derivative, done only once, with respect to one of the variables. For example ∂u/∂x for u = u(x,y).
→ first; → order; → partial; → derivative.
Fr.: dérivée partielle
The derivative of a function of two or more variables, e.g., z = f(x,y), with respect to one of the variables, the others being considered constants (denoted ∂z / ∂x).
→ partial; → derivative.
Fr.: dérivée de la période
The rate at which the rotation period of a → pulsar changes over time. This quantity, dP/dT, can range from as small as 0.05 picoseconds per year (1.5 x 10-21 seconds per second) to as large as about 10 milliseconds per year (4.2 x 10-10 seconds per second). For the → Crab pulsar, the period derivative is 4.2 x 10-13 s s-1, implying a decrease in the star's → rotation energy of about 4.5 x 1038 erg s-1. Period derivative is a very important parameter for the determination of the pulsar age.
→ period; → derivative.
Fr.: dérivée seconde
In → calculus, the → derivative of a → first derivative. It is usually written as f''(x), d2y/d2x, or y''.
→ second; → derivative.
second derivative test
âzmun-e vâxane-ye dovom
Fr.: test de la dérivée seconde
A method, used in → calculus, for determining whether a given → stationary point of a → function is a → local minimum or → local maximum.
→ second; → derivative; → test.