What is (\partial)/(\partial x)(y^2x+y) ?

The answer to (\partial)/(\partial x)(y^2x+y) is y^2

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(\partial)/(\partial x)(y^2x+y)

\frac{\partial}{\partial x} (y^{2} x + y)

y^{2}

Solution steps

\frac{\partial}{\partial x} (y^{2} x + y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (y^{2} x) + \frac{\partial}{\partial x} (y)

\frac{\partial}{\partial x} (y^{2} x) = y^{2}

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

= y^{2} + 0

Simplify

= y^{2}

What is (\partial)/(\partial x)(y^2x+y) ?
The answer to (\partial)/(\partial x)(y^2x+y) is y^2