Convergence For $f ^ { \prime } ( x )$

Multiple Choice

$\text { Consider the function given by } f ( x ) = \sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n + 1 } ( x - 6 ) ^ { n } } { n } \text {. Find the interval of }$ convergence for $f ^ { \prime } ( x )$ .

A) $[ - 6,6 ]$
B) $[ 5,7 ]$
C) $( 0,7 )$
D) $( - 6,6 )$
E) $( 5,7 )$