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Differentiate w.r.t. n
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\frac{\mathrm{d}}{\mathrm{d}n}(-3624+169n^{3})
Subtract 3600 from -24 to get -3624.
3\times 169n^{3-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
507n^{3-1}
Multiply 3 times 169.
507n^{2}
Subtract 1 from 3.
-3624+169n^{3}
Subtract 3600 from -24 to get -3624.