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Differentiate w.r.t. z
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\frac{\mathrm{d}}{\mathrm{d}z}(z^{12}-2048)
Calculate 2 to the power of 11 and get 2048.
12z^{12-1}
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}.
12z^{11}
Subtract 1 from 12.
z^{12}-2048
Calculate 2 to the power of 11 and get 2048.