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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{2}{3}x)
Combine \frac{1}{3}x and -x to get -\frac{2}{3}x.
-\frac{2}{3}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{2}{3}x^{0}
Subtract 1 from 1.
-\frac{2}{3}
For any term t except 0, t^{0}=1.
-\frac{2}{3}x
Combine \frac{1}{3}x and -x to get -\frac{2}{3}x.