Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$

Multiple Choice

Find $\lim _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$ for $f ( x ) = \sqrt { x - 15 }$ .

A) $\sqrt { x - 15 }$
B) $\frac { 1 } { 2 \sqrt { x - 15 } }$
C) $\frac { \sqrt { x - 15 } } { 2 }$
D) limit does not exist
E) $\frac { 1 } { 15 \sqrt { x - 15 } }$