Question

$$\sqrt[ 6 ]{ \frac{ x }{ y } \times \frac{ y }{ x } \times \frac{ y }{ x } }$$

Evaluate

$\sqrt[6]{\frac{y}{x}}$

Differentiate w.r.t. x

$-\frac{y}{6\left(yx^{\frac{7}{5}}\right)^{\frac{5}{6}}}$