What is (\partial)/(\partial x)((x-3)^3) ?

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

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(\partial)/(\partial x)((x-3)^3)

\frac{\partial}{\partial x} ((x - 3)^{3})

3 (x - 3)^{2}

Solution steps

\frac{\partial}{\partial x} ((x - 3)^{3})

Apply the chain rule:

3 (x - 3)^{2} \frac{\partial}{\partial x} (x - 3)

= 3 (x - 3)^{2} \frac{\partial}{\partial x} (x - 3)

\frac{\partial}{\partial x} (x - 3) = 1

= 3 (x - 3)^{2} \cdot 1

Simplify

= 3 (x - 3)^{2}

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