Differentiate w.r.t. n
n\left(21n^{19}-40\right)
Evaluate
n^{21}-20n^{2}+64
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21n^{21-1}+2\left(-20\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}.
21n^{20}+2\left(-20\right)n^{2-1}
Subtract 1 from 21.
21n^{20}-40n^{2-1}
Multiply 2 times -20.
21n^{20}-40n^{1}
Subtract 1 from 2.
21n^{20}-40n
For any term t, t^{1}=t.
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