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Differentiate w.r.t. n
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3n^{3-1}+2\left(-21\right)n^{2-1}
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}.
3n^{2}+2\left(-21\right)n^{2-1}
Subtract 1 from 3.
3n^{2}-42n^{2-1}
Multiply 2 times -21.
3n^{2}-42n^{1}
Subtract 1 from 2.
3n^{2}-42n
For any term t, t^{1}=t.