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Differentiate w.r.t. z
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\frac{\mathrm{d}}{\mathrm{d}z}(-16z)
Multiply -4 and 4 to get -16.
-16z^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-16z^{0}
Subtract 1 from 1.
-16
For any term t except 0, t^{0}=1.
-16z
Multiply -4 and 4 to get -16.