$$\displaystyle\frac{d}{d x } \left( { x }^{ - \frac{ 3 }{ 2 } } \right)$$
$-\frac{3}{2x^{\frac{5}{2}}}$
$$-\frac{3}{2}x^{-\frac{3}{2}-1}$$
$$-\frac{3}{2}x^{-\frac{5}{2}}$$
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$\frac{15}{4x^{\frac{7}{2}}}$
