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

The answer to (\partial)/(\partial x)(3x^2) is 6x

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

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

6 x

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Power Rule:

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

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

Simplify

= 6 x

What is (\partial)/(\partial x)(3x^2) ?
The answer to (\partial)/(\partial x)(3x^2) is 6x