Differentiate w.r.t. z
-12z^{2}
Evaluate
-4z^{3}
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\frac{\mathrm{d}}{\mathrm{d}z}(-4z^{3})
Combine 2z^{3} and -6z^{3} to get -4z^{3}.
3\left(-4\right)z^{3-1}
The derivative of ax^{n} is nax^{n-1}.
-12z^{3-1}
Multiply 3 times -4.
-12z^{2}
Subtract 1 from 3.
-4z^{3}
Combine 2z^{3} and -6z^{3} to get -4z^{3}.
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