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Evaluate
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Differentiate w.r.t. p
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-54p+6500+75
Combine -30p and -24p to get -54p.
-54p+6575
Add 6500 and 75 to get 6575.
\frac{\mathrm{d}}{\mathrm{d}p}(-54p+6500+75)
Combine -30p and -24p to get -54p.
\frac{\mathrm{d}}{\mathrm{d}p}(-54p+6575)
Add 6500 and 75 to get 6575.
-54p^{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}.
-54p^{0}
Subtract 1 from 1.
-54
For any term t except 0, t^{0}=1.