Differentiate $y = \frac { \cosh ( 4 x ) } { \cosh ^ { 2 } ( x ) }$

Multiple Choice

Differentiate $y = \frac { \cosh ( 4 x ) } { \cosh ^ { 2 } ( x ) }$ .(Do not simplify)

A) $\frac { - 4 \sinh ( x ) } { \cosh ^ { 2 } x }$
B) $\frac { - 4 \sinh ( 4 x ) \cdot \cosh ^ { 2 } ( x ) - 2 \sinh x \cdot \cosh ( 4 x ) } { ( \cosh x ) ^ { 4 } }$
C) $\frac { 4 \sinh ( 4 x ) \cdot \cosh ^ { 2 } ( x ) - 2 \sinh x \cdot \cosh ( x ) \cdot \cosh ( 4 x ) } { ( \cosh x ) ^ { 4 } }$
D) $\frac { - 4 \sinh ( 4 x ) \cdot \cosh ^ { 2 } ( x ) + 2 \sinh x \cdot \cosh ( x ) \cdot \cosh ( 4 x ) } { ( \cosh x ) ^ { 4 } }$