$$\frac{ 3 }{ 4 } { x }^{ 6 } + \frac{ 5 }{ 6 } { x }^{ 6 } - \frac{ 2 }{ 3 } { x }^{ 6 }$$
$\frac{11x^{6}}{12}$
$$\frac{19}{12}x^{6}-\frac{2}{3}x^{6}$$
$$\frac{11}{12}x^{6}$$
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$\frac{11x^{5}}{2}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{19}{12}x^{6}-\frac{2}{3}x^{6})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11}{12}x^{6})$$
$$6\times \frac{11}{12}x^{6-1}$$
$$\frac{11}{2}x^{6-1}$$
$$\frac{11}{2}x^{5}$$
