The area of a circle is A= pi r². How does the instantaneous rate of change of the area with respect to the radius when r=2 compare to the average rate of change of the area as the radius changes from r=1 to r=3?
1) The instantaneous rate of change is twice the average rate of change.
2) The instantaneous rate of change is equal to the average rate of change.
3) The instantaneous rate of change is half the average rate of change.
4) The instantaneous rate of change is three times the average rate of change.