?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Moderate

Taylor Polynomial Coefficient

APCALC-FURZT8

The coefficient of the ${ \left( x-8 \right) }^{ 2 }$ term in the Taylor polynomial for $f\left( x \right) ={ x }^{ \frac { 1 }{ 3 } }$ about $x=8$ is

A

$-\cfrac { 1 }{ 288 } $

B

$-\cfrac { 1 }{ 144 } $

C

$\cfrac { 1 }{ 64 } $

D

$\cfrac { 1 }{ 24 } $