6. The curve C is defined for \(x > 0\) and has equation $$y = 3 - \frac { x } { 2 } - \frac { 1 } { 3 \sqrt { x } }$$ a) Find the exact \(x\)-coordinate of the stationary point giving your answer in the form \(a ^ { b }\) where a and b are rational numbers.
b) Find the nature of the stationary point, justifying your answer.
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