3. A curve has the equation \(x = y ^ { 2 } - 3 \ln 2 y\).
- Show that
$$\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { y } { 2 y ^ { 2 } - 3 }$$
- Find an equation for the tangent to the curve at the point where \(y = \frac { 1 } { 2 }\).
Give your answer in the form \(a x + b y + c = 0\) where \(a , b\) and \(c\) are integers.