- The curve \(C\) has equation
$$y = \frac { 5 x ^ { 3 } - 8 } { 2 x ^ { 2 } } \quad x > 0$$
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) writing your answer in simplest form.
The point \(P ( 2,4 )\) lies on \(C\).
- Find an equation for the tangent to \(C\) at \(P\) writing your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.