The Linear Approximation $L ( x )$ To $f ( x ) = \sqrt [ 3 ] { x }$

Multiple Choice

The linear approximation $L ( x )$ to $f ( x ) = \sqrt [ 3 ] { x }$ near $x _ { 0 } = 8$ is

A) $- \frac { 1 } { 2 } + \frac { 1 } { 12 } ( x - 8 )$
B) $- 2 - \frac { 1 } { 12 } ( x - 8 )$
C) $2 + \frac { 1 } { 12 } ( x - 8 )$
D) $2 - \frac { 1 } { 12 } ( x - 8 )$
E) $- 2 + \frac { 1 } { 12 } ( x - 8 )$