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Differentiate w.r.t. z
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\frac{\mathrm{d}}{\mathrm{d}z}(35+51z)
Add 14 and 21 to get 35.
51z^{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}.
51z^{0}
Subtract 1 from 1.
51\times 1
For any term t except 0, t^{0}=1.
51
For any term t, t\times 1=t and 1t=t.
35+51z
Add 14 and 21 to get 35.