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Differentiate w.r.t. p
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\frac{\mathrm{d}}{\mathrm{d}p}(-4p^{8})
Multiply -6 and \frac{2}{3} to get -4.
8\left(-4\right)p^{8-1}
The derivative of ax^{n} is nax^{n-1}.
-32p^{8-1}
Multiply 8 times -4.
-32p^{7}
Subtract 1 from 8.
-4p^{8}
Multiply -6 and \frac{2}{3} to get -4.