What is (\partial)/(\partial x)(4-2y+4xy) ?

The answer to (\partial)/(\partial x)(4-2y+4xy) is 4y

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(\partial)/(\partial x)(4-2y+4xy)

\frac{\partial}{\partial x} (4 - 2 y + 4 x y)

4 y

Solution steps

\frac{\partial}{\partial x} (4 - 2 y + 4 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (4) - \frac{\partial}{\partial x} (2 y) + \frac{\partial}{\partial x} (4 x y)

\frac{\partial}{\partial x} (4) = 0

\frac{\partial}{\partial x} (2 y) = 0

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

= 0 - 0 + 4 y

Simplify

= 4 y

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What is (\partial)/(\partial x)(4-2y+4xy) ?
The answer to (\partial)/(\partial x)(4-2y+4xy) is 4y