Average and Instantaneous Rates of Change
Which of the following statements correctly describes the relationship between a function’s average rate of change and its instantaneous rate of change?
A
The instantaneous rate of change is the average rate of change over an infinite interval.
B
The average rate of change is always equal to the instantaneous rate of change.
C
The average rate of change is the derivative of the function.
D
The instantaneous rate of change is the limit of the average rate of change as the interval approaches zero.
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