What is (\partial)/(\partial y)(50x+400-50y) ?

The answer to (\partial)/(\partial y)(50x+400-50y) is -50

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(\partial)/(\partial y)(50x+400-50y)

\frac{\partial}{\partial y} (50 x + 400 - 50 y)

- 50

Solution steps

\frac{\partial}{\partial y} (50 x + 400 - 50 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (50 x) + \frac{\partial}{\partial y} (400) - \frac{\partial}{\partial y} (50 y)

\frac{\partial}{\partial y} (50 x) = 0

\frac{\partial}{\partial y} (400) = 0

\frac{\partial}{\partial y} (50 y) = 50

= 0 + 0 - 50

Simplify

= - 50

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What is (\partial)/(\partial y)(50x+400-50y) ?
The answer to (\partial)/(\partial y)(50x+400-50y) is -50