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