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Differentiate w.r.t. p
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\frac{\mathrm{d}}{\mathrm{d}p}(1.3p)
Combine 0.8p and 0.5p to get 1.3p.
1.3p^{1-1}
The derivative of ax^{n} is nax^{n-1}.
1.3p^{0}
Subtract 1 from 1.
1.3\times 1
For any term t except 0, t^{0}=1.
1.3
For any term t, t\times 1=t and 1t=t.
1.3p
Combine 0.8p and 0.5p to get 1.3p.