$$\frac{ { x }^{ 2 } }{ 2x \sqrt{ x } }$$
$\frac{1}{4\sqrt{x}}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2\sqrt{x}}x^{2-1})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2\sqrt{x}}x^{1})$$
$$\frac{1}{2\sqrt{x}}x^{1-1}$$
$$\frac{1}{2\sqrt{x}}x^{0}$$
$$\frac{1}{2\sqrt{x}}\times 1$$
$$\frac{1}{2\sqrt{x}}$$
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$\frac{\sqrt{x}}{2}$
