$\text { Find } \frac { d y } { d x } \text { by implicit differentiation given that } \tan ( 4 x + y ) = 4 x \text {. Use the original }$

Multiple Choice

$\text { Find } \frac { d y } { d x } \text { by implicit differentiation given that } \tan ( 4 x + y ) = 4 x \text {. Use the original }$ equation to simplify your answer.

A) $\frac { d y } { d x } = \frac { 4 x } { x ^ { 2 } + 1 }$
B) $\frac { d y } { d x } = - \frac { 4 x ^ { 2 } } { x ^ { 2 } - 1 }$
C) $\frac { d y } { d x } = \frac { 4 x ^ { 2 } } { x ^ { 2 } + 1 }$
D) $\frac { d y } { d x } = - \frac { 4 x ^ { 2 } } { x ^ { 2 } + 1 }$
E) $\frac { d y } { d x } = \frac { 4 x ^ { 2 } } { x ^ { 2 } - 1 }$