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Endringsrate

Endringsrate, in Norwegian, refers to the rate at which a quantity changes with respect to another variable, most commonly time. In mathematics the instantaneous endringsrate is described by the derivative dy/dx, representing how y changes per unit change in x; the average endringsrate over an interval [a,b] is (y(b)−y(a))/(b−a).

For discrete data, the endringsrate can be approximated by finite differences Δy/Δx. The sign indicates direction

Endringsrate is a central concept across fields. In physics, velocity is the endringsrate of position with

Interpretation depends on context, as rates are sensitive to the chosen variable and time scale. When the

of
change,
and
the
magnitude
indicates
the
speed
of
change.
The
relative
endringsrate,
often
expressed
as
the
rate
of
change
per
unit
of
the
quantity
itself,
is
d/dt
ln
y
or
(1/y)
dy/dt,
yielding
a
percentage-style
growth
rate.
respect
to
time,
and
acceleration
is
the
rate
of
change
of
velocity.
In
biology
and
economics,
growth
rates
describe
how
populations
or
prices
evolve
over
time;
in
environmental
science,
rate
of
change
is
used
to
monitor
trends
such
as
temperature
or
emissions.
It
is
also
used
in
engineering
and
statistics
to
model
dynamic
systems.
function
is
not
differentiable,
or
when
measurements
are
noisy,
different
methods
(finite
differences,
smoothing,
regression)
may
be
used
to
estimate
the
endringsrate.
Units
must
be
consistent
to
yield
meaningful
results.