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AP® Calculus AB-BC

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Calculate Instantaneous Rate of Change Using Mean Value Theorem

APCALC-S19BXV

What instaneous rate of change is guaranteed by the Mean Value Theorem for the function $y={ x }^{ 3 }- { x }^{ 2 }-2x+1$ on the closed interval $[-1,4]$?

A

$40$

B

$\cfrac{40}{3}$

C

$8$

D

$5$