Suppose That 15 $x ^ { 1 / 3 }$ $y ^ { - 2 / 3 }$

Multiple Choice

Suppose that 15 $x ^ { 1 / 3 }$ $y ^ { - 2 / 3 }$ = 50, where x and y are both differentiable functions of t. Find $\frac { d y } { d t }$ .

A) $\frac { y } { 2 x }$ $\frac { \mathrm { dx } } { \mathrm { dt } }$
B) $\frac { 10 } { x ^ { 2 / 3 } y 5 / 3 }$ $\frac { \mathrm { dx } } { \mathrm { dt } }$
C) $\frac { - y } { x }$ $\frac { \mathrm { dx } } { \mathrm { dt } }$
D) $\frac { 25 y ^ { 1 / 3 } } { 2 x ^ { 2 / 3 } }$