$$\displaystyle\frac{d}{d x } \left(x(3 { x }^{ 2 } - \sqrt{ x } ) \right)$$
$9x^{2}-\frac{3\sqrt{x}}{2}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{3}-x\sqrt{x})$$
$$3\times 3x^{3-1}+\left(-\sqrt{x}\right)x^{1-1}$$
$$9x^{3-1}+\left(-\sqrt{x}\right)x^{1-1}$$
$$9x^{2}+\left(-\sqrt{x}\right)x^{1-1}$$
$$9x^{2}+\left(-\sqrt{x}\right)x^{0}$$
$$9x^{2}+\left(-\sqrt{x}\right)\times 1$$
$$9x^{2}-\sqrt{x}$$
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$18x-\frac{3}{4\sqrt{x}}$
