What is (\partial)/(\partial z)(z^3) ?

The answer to (\partial)/(\partial z)(z^3) is 3z^2

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(\partial)/(\partial z)(z^3)

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

3 z^{2}

Solution steps

\frac{\partial}{\partial 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}

x \to - 9 lim (5 x)

x \to 0 lim (\frac{- 1}{x ^{2}})

\frac{\partial}{\partial x} (4 x^{2} y + 2 x y^{2})

sin (cos (x))

\int \frac{1}{3 x ( 4 + x )} d x

What is (\partial)/(\partial z)(z^3) ?
The answer to (\partial)/(\partial z)(z^3) is 3z^2