What is (\partial)/(\partial y)(5xy-10y) ?

The answer to (\partial)/(\partial y)(5xy-10y) is 5x-10

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(\partial)/(\partial y)(5xy-10y)

\frac{\partial}{\partial y} (5 x y - 10 y)

5 x - 10

Solution steps

\frac{\partial}{\partial y} (5 x y - 10 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (5 x y) - \frac{\partial}{\partial y} (10 y)

\frac{\partial}{\partial y} (5 x y) = 5 x

\frac{\partial}{\partial y} (10 y) = 10

= 5 x - 10

What is (\partial)/(\partial y)(5xy-10y) ?
The answer to (\partial)/(\partial y)(5xy-10y) is 5x-10