5 A curve has equation \(y = \frac { 1 } { x ^ { 3 } } + 48 x\).
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Hence find the equation of each of the two tangents to the curve that are parallel to the \(x\)-axis.
- Find an equation of the normal to the curve at the point \(( 1,49 )\).