11. The curve \(C\) has equation \(y = \mathrm { f } ( x ) , x > 0\), where
$$f ^ { \prime } ( x ) = \frac { 5 x ^ { 2 } + 4 } { 2 \sqrt { x } } - 5$$
It is given that the point \(P ( 4,14 )\) lies on \(C\).
- Find \(\mathrm { f } ( x )\), writing each term in a simplified form.
- Find the equation of the tangent to \(C\) at the point \(P\), giving your answer in the form \(y = m x + c\), where \(m\) and \(c\) are constants.