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Differentiate w.r.t. z
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\frac{\mathrm{d}}{\mathrm{d}z}(10-9z)
Add 5 and 5 to get 10.
-9z^{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}.
-9z^{0}
Subtract 1 from 1.
-9
For any term t except 0, t^{0}=1.
10-9z
Add 5 and 5 to get 10.