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Differentiate w.r.t. k
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\frac{\mathrm{d}}{\mathrm{d}k}(3k-52)
Add -59 and 7 to get -52.
3k^{1-1}
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}.
3k^{0}
Subtract 1 from 1.
3\times 1
For any term t except 0, t^{0}=1.
3
For any term t, t\times 1=t and 1t=t.
3k-52
Add -59 and 7 to get -52.