(i) If $y=\ln \left(\frac{\mathrm{e}^{\sqrt{x}}}{\cos ^3 x}\right)$, find $\frac{\mathrm{dy}}{\mathrm{dx}}$ in tems of $x$, where $0<x<\frac{\pi}{2}$

[2]

(ii) Given that $y^{\frac{1}{x}}=x^{\mathrm{ln x}}$, find $\frac{\mathrm{d} y}{d x}$ in terms of $x$ and $y$.

[3]