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Differentiate w.r.t. p
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\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}+4)
Multiply p and p to get p^{2}.
2p^{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}.
2p^{1}
Subtract 1 from 2.
2p
For any term t, t^{1}=t.
p^{2}+4
Multiply p and p to get p^{2}.