$$\sqrt{3}x^{2}\cdot\sqrt{27}x^{2}$$
$9x^{4}$
$$\sqrt{3}x^{4}\sqrt{27}$$
$$\sqrt{3}x^{4}\sqrt{3}\sqrt{9}$$
$$3x^{4}\sqrt{9}$$
$$3x^{4}\times 3$$
$$9x^{4}$$
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$36x^{3}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\sqrt{3}x^{4}\sqrt{27})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\sqrt{3}x^{4}\sqrt{3}\sqrt{9})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{4}\sqrt{9})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{4}\times 3)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(9x^{4})$$
$$4\times 9x^{4-1}$$
$$36x^{4-1}$$
$$36x^{3}$$
