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Differentiate w.r.t. n
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\frac{\mathrm{d}}{\mathrm{d}n}(\frac{1}{9}n^{2})
Calculate 3 to the power of -2 and get \frac{1}{9}.
2\times \frac{1}{9}n^{2-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{2}{9}n^{2-1}
Multiply 2 times \frac{1}{9}.
\frac{2}{9}n^{1}
Subtract 1 from 2.
\frac{2}{9}n
For any term t, t^{1}=t.
\frac{1}{9}n^{2}
Calculate 3 to the power of -2 and get \frac{1}{9}.