What is (\partial)/(\partial y)(4xy) ?

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

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(\partial)/(\partial y)(4xy)

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

4 x

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 4 x \cdot 1

Simplify

= 4 x

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