Question

$$\frac{ { \left( \frac{ 1 }{ 3x } \right) }^{ 4 } { \left( \frac{ 1 }{ y } \right) }^{ \frac{ 1 }{ 2 } } }{ { \left( \frac{ 1 }{ 8x } \right) }^{ 3 } { \left( \frac{ 1 }{ y } \right) }^{ 4 } }$$

Evaluate

$\frac{512y^{\frac{7}{2}}}{81x}$

Differentiate w.r.t. x

$-\frac{512y^{\frac{7}{2}}}{81x^{2}}$