6 A curve \(C\) has the equation
$$y = \frac { x ^ { 3 } + \sqrt { x } } { x } , \quad x > 0$$
- Express \(\frac { x ^ { 3 } + \sqrt { x } } { x }\) in the form \(x ^ { p } + x ^ { q }\).
- Hence find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Find an equation of the normal to the curve \(C\) at the point on the curve where \(x = 1\).
- Find \(\frac { \mathrm { d } ^ { 2 } y } { \mathrm {~d} x ^ { 2 } }\).
- Hence deduce that the curve \(C\) has no maximum points.
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