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

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

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

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

2 x^{3}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial y} (y) = 1

= 2 x^{3} \cdot 1

Simplify

= 2 x^{3}

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