1.1. The curve C has parametric equations

$x=\frac{1}{{t}^{2}}$    $y=t+\frac{1}{t}$   $t>0$

Find an expression, in terms of  t, for  $\frac{dy}{dx}$ .

1.2. (i) Find the gradient of the tangent to C at the point where  $t=\frac{1}{2}$.

(ii) Hence find the equation of the normal to C at the point where  $t=\frac{1}{2}$ .