$$( \frac{ 3 }{ 4 } { x }^{ 2 } +3 { x }^{ 2 } )+(4 { x }^{ 2 } - \frac{ 8 }{ 3 } { x }^{ 2 }$$
$\frac{61x^{2}}{12}$
$$\frac{15}{4}x^{2}+4x^{2}-\frac{8}{3}x^{2}$$
$$\frac{31}{4}x^{2}-\frac{8}{3}x^{2}$$
$$\frac{61}{12}x^{2}$$
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$\frac{61x}{6}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{15}{4}x^{2}+4x^{2}-\frac{8}{3}x^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{31}{4}x^{2}-\frac{8}{3}x^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{61}{12}x^{2})$$
$$2\times \frac{61}{12}x^{2-1}$$
$$\frac{61}{6}x^{2-1}$$
$$\frac{61}{6}x^{1}$$
$$\frac{61}{6}x$$
