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

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

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

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

y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= y + 0

Simplify

= y

\frac{d}{d x} (x^{3} y^{3})

\frac{\partial}{\partial x} (3 x e^{x y})

x sin (y)

x \to - \infty lim (- 2 x - 1)

\int 25 - 4 x^{2} d x

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