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Differentiate w.r.t. x
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1x^{\frac{1}{4}}
Calculate 2 to the power of -2 and get \frac{1}{4}.
x^{\frac{1}{4}}
For any term t, t\times 1=t and 1t=t.
\frac{\mathrm{d}}{\mathrm{d}x}(1x^{\frac{1}{4}})
Calculate 2 to the power of -2 and get \frac{1}{4}.
\frac{1}{4}x^{\frac{1}{4}-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{1}{4}x^{-\frac{3}{4}}
Subtract 1 from \frac{1}{4}.