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Differentiate w.r.t. p
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\frac{\mathrm{d}}{\mathrm{d}p}(-3p^{3})
Combine -6p^{3} and 3p^{3} to get -3p^{3}.
3\left(-3\right)p^{3-1}
The derivative of ax^{n} is nax^{n-1}.
-9p^{3-1}
Multiply 3 times -3.
-9p^{2}
Subtract 1 from 3.
-3p^{3}
Combine -6p^{3} and 3p^{3} to get -3p^{3}.