Two variables \(x\) and \(y\) are such that \(y=\dfrac{\ln x}{x^3}\), for \(x\gt 0\).

(i) Show that \(\dfrac{dy}{dx}=\dfrac{1-3\ln x}{x^4}\).

(ii) Hence find the approximate change in \(y\) as \(x\) increases from \(e\) to \(e+h\), where \(h\) is small.