What is (\partial)/(\partial y)(x+y+1) ?

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

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(\partial)/(\partial y)(x+y+1)

\frac{\partial}{\partial y} (x + y + 1)

1

Solution steps

\frac{\partial}{\partial y} (x + y + 1)

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

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

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

\frac{\partial}{\partial y} (1) = 0

= 0 + 1 + 0

Simplify

= 1

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