- $$y = f ( x ) = 10 \sqrt { x } - x + 1 , ( x , y ) = ( 100,1 )$$

Multiple Choice

$\text { Use the formula } f ^ { \prime } ( x ) = \lim _ { z \rightarrow x } \frac { f ( z ) - f ( x ) } { z - x } \text { to find the derivative of the function. }$
- $$y = f ( x ) = 10 \sqrt { x } - x + 1 , ( x , y ) = ( 100,1 )$$

A) $y = - \frac { 1 } { 2 } x + 51$
B) $y = - \frac { 1 } { 2 } x + 1$
C) $y = 1$
D) $y = \frac { 1 } { 2 } x - 51$