What is (\partial)/(\partial y)(2xy-6y) ?

The answer to (\partial)/(\partial y)(2xy-6y) is 2x-6

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(\partial)/(\partial y)(2xy-6y)

\frac{\partial}{\partial y} (2 x y - 6 y)

2 x - 6

Solution steps

\frac{\partial}{\partial y} (2 x y - 6 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (2 x y) - \frac{\partial}{\partial y} (6 y)

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

\frac{\partial}{\partial y} (6 y) = 6

= 2 x - 6

\int e^{- \frac{1}{x}} d x

\frac{\partial}{\partial x} (f (x, y) (x + y))

\int_{0}^{1} \frac{r ^{3}}{4 + r ^{2}} d r

x \to 2 lim (\frac{5 - x}{x - 2})

\frac{d}{d x} (\frac{sin ( x ) - x}{x ^{3}})

What is (\partial)/(\partial y)(2xy-6y) ?
The answer to (\partial)/(\partial y)(2xy-6y) is 2x-6