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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(x^{-\frac{1}{2}})
Subtract 1 from \frac{1}{2} to get -\frac{1}{2}.
-\frac{1}{2}x^{-\frac{1}{2}-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{1}{2}x^{-\frac{3}{2}}
Subtract 1 from -\frac{1}{2}.