$$\frac{9\times16\times x^{6}}{2^{5}\times6^{2}\times x^{2}}$$
$\frac{x^{4}}{8}$
$$\frac{9\times 16x^{4}}{2^{5}\times 6^{2}}$$
$$\frac{144x^{4}}{2^{5}\times 6^{2}}$$
$$\frac{144x^{4}}{32\times 6^{2}}$$
$$\frac{144x^{4}}{32\times 36}$$
$$\frac{144x^{4}}{1152}$$
$$\frac{1}{8}x^{4}$$
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$\frac{x^{3}}{2}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{144}{1152}x^{6-2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{8}x^{4})$$
$$4\times \frac{1}{8}x^{4-1}$$
$$\frac{1}{2}x^{3}$$
