AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Moderate

Derivative of Radical Function at a Point

APCALC-XE3B5L

Which of the following is NOT equivalent to $\cfrac{d}{dx} \left(\sqrt[3]{x}\right)$ evaluated at $x=8$?

A

$\lim \limits_{x \to 8} \cfrac{\sqrt[3]{x}-2}{x-8}$

B

$\lim \limits_{h \to 0} \cfrac{\sqrt[3]{x+h}-\sqrt[3]{x}}{h}$

C

$\cfrac{1}{12}$

D

$\cfrac{1}{6}$