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.

1) General: Derived from another; not original or primitive.
2) Math.: For a → functiony = f(x), the → limit of the
→ ratio of the → increment
of the function, Δy, to the increment of the
→ variable, Δx, as the latter
tends to → zero. Derived function;
result of → differentiation.
3) Chemistry: Substance derived or prepared from some other
→ substance.

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.

first-order partial derivative

واخنهی ِ پاری ِ رایهی ِ نخست

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).

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).

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 10^{38} erg s^{-1}. Period derivative is a very
important parameter for the determination of the pulsar age.