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

question 57

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) \(\frac { 25 y ^ { 1 / 3 } } { 2 x ^ { 2 / 3 } }\)

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