Differentiate w.r.t. z
2z
Evaluate
z^{2}+27
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\frac{\mathrm{d}}{\mathrm{d}z}(z^{2}+27)
Calculate 3 to the power of 3 and get 27.
2z^{2-1}
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}.
2z^{1}
Subtract 1 from 2.
2z
For any term t, t^{1}=t.
z^{2}+27
Calculate 3 to the power of 3 and get 27.
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