\(\frac { \cos \left( 2 x ^ { 3 } \right) } { 3 x }\). [0pt]
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(i) The curve \(C\) has equation
$$y = \frac { x } { 9 + x ^ { 2 } }$$
Use calculus to find the coordinates of the turning points of \(C\).
(ii) Given that
$$y = \left( 1 + \mathrm { e } ^ { 2 x } \right) ^ { \frac { 3 } { 2 } }$$
find the value of \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) at \(x = \frac { 1 } { 2 } \ln 3\). [0pt]
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