What is (\partial)/(\partial y)(x+6y) ?

The answer to (\partial)/(\partial y)(x+6y) is 6

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(\partial)/(\partial y)(x+6y)

\frac{\partial}{\partial y} (x + 6 y)

6

Solution steps

\frac{\partial}{\partial y} (x + 6 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 6

Simplify

= 6

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What is (\partial)/(\partial y)(x+6y) ?
The answer to (\partial)/(\partial y)(x+6y) is 6