Solve this:

\frac{d}{d x} (\sqrt{x} - \frac{1}{\sqrt{x}}) \frac{1}{2} x^{(- 1 / 2)} - (- \frac{1}{2}) x^{(- 3 / 2)} \frac{1}{2 \sqrt{x}} + \frac{1}{2 x^{3 / 2}}

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