APFIVE Average and Instantaneous Rates of Change
All of the following statements regarding the rates of change for $$x(t)=t^3-2*t$$ and $$y(t)=4*t-t^2$$ over the interval [1, 3] are true except:
A
The instantaneous rate of change of $$x(t)$$ is given by differentiating to obtain $$3*t^2-2$$.
B
The average rate of change of a function over an interval generally does not equal its instantaneous rate at the midpoint of the interval.
C
Differentiating $$y(t)$$ yields an instantaneous rate of change of $$4-2*t$$.
D
The average rate of change of $$y(t)$$ over the interval [1, 3] is 1.
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