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AP® Calculus AB-BC

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Difficult

Mean Value Theorem

APCALC-RVSWDH

If $f(x)=(x-2)^{ \frac {1}{2}},$ find any values where the average rate of change equals the instantaneous rate of change on the interval $[3,\,6]$.

A

$\cfrac{1}{3}$

B

$\cfrac{3}{2}$

C

$\cfrac{9}{4}$

D

$\cfrac{17}{4}$