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

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

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

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

1

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 1

Simplify

= 1

x^{2} + 3

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