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Differentiate w.r.t. x
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-\frac{1}{4}\times 8x^{-\frac{1}{4}-1}
The derivative of ax^{n} is nax^{n-1}.
-2x^{-\frac{1}{4}-1}
Multiply -\frac{1}{4} times 8.
-2x^{-\frac{5}{4}}
Subtract 1 from -\frac{1}{4}.