17 - p - 0,5 p
Differentiate w.r.t. p
-1,5
Evaluate
-\frac{3p}{2}+17
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\frac{\mathrm{d}}{\mathrm{d}p}(17-1,5p)
Combine -p and -0,5p to get -1,5p.
-1,5p^{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}.
-1,5p^{0}
Subtract 1 from 1.
-1,5
For any term t except 0, t^{0}=1.
17-1,5p
Combine -p and -0,5p to get -1,5p.
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