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

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

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

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

x

Solution steps

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

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} (x)

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

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

= x + 0

Simplify

= x

\frac{d y}{d x} + y = 2

x \to - 3 lim ([\frac{1}{2} x^{2} + 3])

x \to \infty lim (a^{n})

\int sin (x^{4}) d x

\frac{\partial}{\partial z} (2 x ln (yz))

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