Instantaneous
Rate of Change
The rate of change at a particular moment.
Same as the value of the derivative at
a particular point.
For
a function, the instantaneous
rate of change at a point is the same as the slope of
the tangent line. That is, it's the slope
of a curve.
Note: Over short intervals
of time, the average
rate of change is approximately equal
to the instantaneous rate of change.
See also
Instantaneous
velocity, mean value theorem
