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Differentiate w.r.t. k
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\frac{\mathrm{d}}{\mathrm{d}k}(k^{2}+83)
Add 17 and 66 to get 83.
2k^{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}.
2k^{1}
Subtract 1 from 2.
2k
For any term t, t^{1}=t.
k^{2}+83
Add 17 and 66 to get 83.