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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{4}x^{2})
Divide 2x^{2} by 8 to get \frac{1}{4}x^{2}.
2\times \frac{1}{4}x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{1}{2}x^{2-1}
Multiply 2 times \frac{1}{4}.
\frac{1}{2}x^{1}
Subtract 1 from 2.
\frac{1}{2}x
For any term t, t^{1}=t.
\frac{1}{4}x^{2}
Divide 2x^{2} by 8 to get \frac{1}{4}x^{2}.