What is the first derivative of z^3 ?

The first derivative of z^3 is 3z^2

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derivative of z^3

derivative of

z^{3}

3 z^{2}

Solution steps

\frac{d}{d z} (z^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 z^{3 - 1}

Simplify

= 3 z^{2}

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