12.
$$f ( x ) = \frac { ( 4 + 3 \sqrt { } x ) ^ { 2 } } { x } , \quad x > 0$$
- Show that \(\mathrm { f } ( x ) = A x ^ { - 1 } + B x ^ { k } + C\), where \(A , B , C\) and \(k\) are constants to be determined.
- Hence find \(\mathrm { f } ^ { \prime } ( x )\).
- Find an equation of the tangent to the curve \(y = \mathrm { f } ( x )\) at the point where \(x = 4\)
2. LIIIII