What is (\partial)/(\partial y)(xy+y) ?

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

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(\partial)/(\partial y)(xy+y)

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

x + 1

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= x + 1

10 e^{(- 10 t)}

\int e^{4 x} x d x

f (x) = 4 6 x^{2} + 7

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

\int 4 x + x d x

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