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

The answer to (\partial)/(\partial y)(4x^3y) is 4x^3

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(\partial)/(\partial y)(4x^3y)

\frac{\partial}{\partial y} (4 x^{3} y)

4 x^{3}

Solution steps

\frac{\partial}{\partial y} (4 x^{3} y)

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 4 x^{3} \cdot 1

Simplify

= 4 x^{3}

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What is (\partial)/(\partial y)(4x^3y) ?
The answer to (\partial)/(\partial y)(4x^3y) is 4x^3