6. The curve \(C\) has equation \(y = \mathrm { f } ( x ) , x > 0\)
Given that
- \(C\) passes through the point \(P ( 8,2 )\)
- \(\mathrm { f } ^ { \prime } ( x ) = \frac { 32 } { 3 x ^ { 2 } } + 3 - 2 ( \sqrt [ 3 ] { x } )\)
- find the equation of the tangent to \(C\) at \(P\). Write your answer in the form \(y = m x + c\), where \(m\) and \(c\) are constants to be found.
(3) - Find, in simplest form, \(\mathrm { f } ( x )\).
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