Provide an Appropriate Response $\frac { x + y } { x - y } = x ^ { 2 } + y ^ { 2 }$

Multiple Choice

Provide an appropriate response.
-If $\frac { x + y } { x - y } = x ^ { 2 } + y ^ { 2 }$ and $d x / d t = 12$ , then what is $d y / d t$ when $x = 1$ and $y = 0$ ?

A) $\frac { 1 } { 12 }$
B) $- 12$
C) 12
D) $- \frac { 1 } { 12 }$