What is (\partial)/(\partial x)((3x^2+4)^3) ?

The answer to (\partial)/(\partial x)((3x^2+4)^3) is 18x(3x^2+4)^2

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(\partial)/(\partial x)((3x^2+4)^3)

\frac{\partial}{\partial x} ((3 x^{2} + 4)^{3})

18 x (3 x^{2} + 4)^{2}

Solution steps

\frac{\partial}{\partial x} ((3 x^{2} + 4)^{3})

Apply the chain rule:

3 (3 x^{2} + 4)^{2} \frac{\partial}{\partial x} (3 x^{2} + 4)

= 3 (3 x^{2} + 4)^{2} \frac{\partial}{\partial x} (3 x^{2} + 4)

\frac{\partial}{\partial x} (3 x^{2} + 4) = 6 x

= 3 (3 x^{2} + 4)^{2} \cdot 6 x

Simplify

= 18 x (3 x^{2} + 4)^{2}

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What is (\partial)/(\partial x)((3x^2+4)^3) ?
The answer to (\partial)/(\partial x)((3x^2+4)^3) is 18x(3x^2+4)^2