If $g ( x ) = \sqrt { 2 - 3 x }$

Multiple Choice

If $g ( x ) = \sqrt { 2 - 3 x }$ , use the definition of derivative to find $g ^ { \prime } ( x )$

A)
$g ^ { \prime } ( x ) = - \frac { 1 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }$
B) $g ^ { \prime } ( x ) = - ( 2 - 3 x ) ^ { - 1 / 2 }$
C)
$g ^ { \prime } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { 1 / 2 }$
D)
$$g ^ { \prime } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }$$
E) None of these