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Differentiate w.r.t. z
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Evaluate
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\frac{\mathrm{d}}{\mathrm{d}z}(z^{3}\times 2)
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
3\times 2z^{3-1}
The derivative of ax^{n} is nax^{n-1}.
6z^{3-1}
Multiply 3 times 2.
6z^{2}
Subtract 1 from 3.
z^{3}\times 2
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.