What is (\partial)/(\partial x)(3xy-2y) ?

The answer to (\partial)/(\partial x)(3xy-2y) is 3y

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(\partial)/(\partial x)(3xy-2y)

\frac{\partial}{\partial x} (3 x y - 2 y)

3 y

Solution steps

\frac{\partial}{\partial x} (3 x y - 2 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (3 x y) - \frac{\partial}{\partial x} (2 y)

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

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

= 3 y - 0

Simplify

= 3 y

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What is (\partial)/(\partial x)(3xy-2y) ?
The answer to (\partial)/(\partial x)(3xy-2y) is 3y