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Differentiate w.r.t. p
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\frac{\mathrm{d}}{\mathrm{d}p}(-15,15p-60)
Combine 5p and -20,15p to get -15,15p.
-15,15p^{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}.
-15,15p^{0}
Subtract 1 from 1.
-15,15
For any term t except 0, t^{0}=1.
-15,15p-60
Combine 5p and -20,15p to get -15,15p.