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Differentiate w.r.t. p
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\frac{\mathrm{d}}{\mathrm{d}p}(2p^{3})
Combine \frac{1}{3}p^{3} and \frac{5}{3}p^{3} to get 2p^{3}.
3\times 2p^{3-1}
The derivative of ax^{n} is nax^{n-1}.
6p^{3-1}
Multiply 3 times 2.
6p^{2}
Subtract 1 from 3.
2p^{3}
Combine \frac{1}{3}p^{3} and \frac{5}{3}p^{3} to get 2p^{3}.