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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(x\left(-\frac{2}{5}\right))
Divide x\left(-4\right) by 10 to get x\left(-\frac{2}{5}\right).
-\frac{2}{5}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{2}{5}x^{0}
Subtract 1 from 1.
-\frac{2}{5}
For any term t except 0, t^{0}=1.
x\left(-\frac{2}{5}\right)
Divide x\left(-4\right) by 10 to get x\left(-\frac{2}{5}\right).