6 The equation of a curve is \(2 y ^ { 2 } + 3 x y + x = x ^ { 2 }\).
- Show that \(\frac { \mathrm { dy } } { \mathrm { dx } } = \frac { 2 \mathrm { x } - 3 \mathrm { y } - 1 } { 4 \mathrm { y } + 3 \mathrm { x } }\).
- Hence show that the curve does not have a tangent that is parallel to the \(x\)-axis.