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Differentiate w.r.t. x
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\frac{\mathrm{d}}{\mathrm{d}x}(\frac{250}{9}x)
Divide 1000x by 36 to get \frac{250}{9}x.
\frac{250}{9}x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{250}{9}x^{0}
Subtract 1 from 1.
\frac{250}{9}\times 1
For any term t except 0, t^{0}=1.
\frac{250}{9}
For any term t, t\times 1=t and 1t=t.
\frac{250}{9}x
Divide 1000x by 36 to get \frac{250}{9}x.