What is (\partial)/(\partial x)(4z-18xy) ?

The answer to (\partial)/(\partial x)(4z-18xy) is -18y

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(\partial)/(\partial x)(4z-18xy)

\frac{\partial}{\partial x} (4 z - 18 x y)

- 18 y

Solution steps

\frac{\partial}{\partial x} (4 z - 18 x y)

Treat

z, y

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (4 z) - \frac{\partial}{\partial x} (18 x y)

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

\frac{\partial}{\partial x} (18 x y) = 18 y

= 0 - 18 y

Simplify

= - 18 y

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What is (\partial)/(\partial x)(4z-18xy) ?
The answer to (\partial)/(\partial x)(4z-18xy) is -18y