What is (\partial)/(\partial x)(6x^2y) ?

The answer to (\partial)/(\partial x)(6x^2y) is 12xy

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(\partial)/(\partial x)(6x^2y)

\frac{\partial}{\partial x} (6 x^{2} y)

12 x y

Solution steps

\frac{\partial}{\partial x} (6 x^{2} y)

Treat

y

as a constant

Take the constant out:

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

= 6 y \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= 6 y \cdot 2 x^{2 - 1}

Simplify

= 12 x y

What is (\partial)/(\partial x)(6x^2y) ?
The answer to (\partial)/(\partial x)(6x^2y) is 12xy