- The curve with equation \(y = \mathrm { f } ( x )\) passes through the point \(( 1,6 )\). Given that
$$f ^ { \prime } ( x ) = 3 + \frac { 5 x ^ { 2 } + 2 } { x ^ { \frac { 1 } { 2 } } } , x > 0$$
find \(\mathrm { f } ( x )\) and simplify your answer.