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

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

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

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

y (4 - y)

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y (4 - y) \cdot 1

Simplify

= y (4 - y)

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