At a single point, the rate of change is best described as:
A) The average rate of change between the specified point and an infinitesimally close point.
B) The instantaneous rate of change, represented by the derivative, indicating how the output changes with respect to a small change in the input.
C) The total rate of change over a given interval surrounding the specific point.
D) The overall change in the output when the input changes by a finite amount at the specified point.