(i) Given that \(\displaystyle y=\frac{\ln x}{x^2}\), find \(\displaystyle \frac{dy}{dx}\).

(ii) Find the coordinates of the stationary point on the curve \(\displaystyle y=\frac{\ln x}{x^2}\).

(iii) Using your answer to part (i), find \(\displaystyle \int \frac{\ln x}{x^3}\,dx\).

(iv) Hence evaluate \(\displaystyle \int_1^2 \frac{\ln x}{x^3}\,dx\).