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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{-5}}{64})
Calculate 4 to the power of 3 and get 64.
-5\times \frac{1}{64}x^{-5-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{5}{64}x^{-5-1}
Multiply -5 times \frac{1}{64}.
-\frac{5}{64}x^{-6}
Subtract 1 from -5.
\frac{x^{-5}}{64}
Calculate 4 to the power of 3 and get 64.