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

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

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

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

x^{2}

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= x^{2} + 0

Simplify

= x^{2}

\frac{d}{d x} (x^{2} (x - 3))

f (y) = tan (y)

\int \frac{x ^{2} + x}{x} d x

f (x) = 72 x (6 x^{2} + 8)^{5}

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