- $$w = g ( z ) = 9 + \sqrt { 8 - z } , ( z , w ) = ( 7,10 )$$

Multiple Choice

$\text { Use the formula } f ^ { \prime } ( x ) = \lim _ { z \rightarrow x } \frac { f ( z ) - f ( x ) } { z - x } \text { to find the derivative of the function. }$
- $$w = g ( z ) = 9 + \sqrt { 8 - z } , ( z , w ) = ( 7,10 )$$

A) $w = \frac { 1 } { 2 } z + \frac { 27 } { 2 }$
B) $w = - \frac { 1 } { 2 } z + \frac { 27 } { 2 }$
C) $w = \frac { 1 } { 2 } z - \frac { 27 } { 2 }$
D) $w = - \frac { 1 } { 2 } z - \frac { 27 } { 2 }$