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Differentiate w.r.t. z
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\frac{\mathrm{d}}{\mathrm{d}z}(-z^{3})
Combine -5z^{3} and 4z^{3} to get -z^{3}.
3\left(-1\right)z^{3-1}
The derivative of ax^{n} is nax^{n-1}.
-3z^{3-1}
Multiply 3 times -1.
-3z^{2}
Subtract 1 from 3.
-z^{3}
Combine -5z^{3} and 4z^{3} to get -z^{3}.