Assume That X and Y Are Both Differentiable Functions of T

Multiple Choice

Assume that x and y are both differentiable functions of t. Find $\frac { d x } { d t }$ when $x = 11$ and $\frac { d y } { d t } = - 8$ for the equation $x y = 132$ .

A) $\frac { d x } { d t } = - 1056$
B) $\frac { d x } { d t } = 88$
C) $\frac { d x } { d t } = - \frac { 22 } { 3 }$
D) $\frac { d x } { d t } = \frac { 22 } { 3 }$
E) $\frac { d x } { d t } = - 88$