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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2}x^{2})
Multiply \frac{1}{3} and 6 to get 2.
2\times \frac{1}{2}x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
x^{2-1}
Multiply 2 times \frac{1}{2}.
x^{1}
Subtract 1 from 2.
x
For any term t, t^{1}=t.
\frac{1}{2}x^{2}
Multiply \frac{1}{3} and 6 to get 2.