What is (\partial)/(\partial y)(4x+y) ?

The answer to (\partial)/(\partial y)(4x+y) is 1

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(\partial)/(\partial y)(4x+y)

\frac{\partial}{\partial y} (4 x + y)

1

Solution steps

\frac{\partial}{\partial y} (4 x + y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (4 x) + \frac{\partial}{\partial y} (y)

\frac{\partial}{\partial y} (4 x) = 0

\frac{\partial}{\partial y} (y) = 1

= 0 + 1

Simplify

= 1

What is (\partial)/(\partial y)(4x+y) ?
The answer to (\partial)/(\partial y)(4x+y) is 1