$$\frac{ 6x { 5 }^{ 5 } }{ 2 { x }^{ 2 } }$$
$\frac{9375}{x}$
$$\frac{3\times 5^{5}}{x}$$
$$\frac{3\times 3125}{x}$$
$$\frac{9375}{x}$$
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$-\frac{9375}{x^{2}}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{18750}{2}x^{1-2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(9375\times \frac{1}{x})$$
$$-9375x^{-1-1}$$
$$-9375x^{-2}$$