10. A curve with equation \(y = \mathrm { f } ( x )\) passes through the point (4,25).
Given that
$$f ^ { \prime } ( x ) = \frac { 3 } { 8 } x ^ { 2 } - 10 x ^ { - \frac { 1 } { 2 } } + 1 , \quad x > 0$$
- find \(\mathrm { f } ( x )\), simplifying each term.
- Find an equation of the normal to the curve at the point ( 4,25 ).
Give your answer in the form \(a x + b y + c = 0\), where \(a\), \(b\) and \(c\) are integers to be found.