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

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

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

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

2 x y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y x + 0

Simplify

= 2 x y

\frac{d}{d x} (lo g_{e} (x + 1))

\int \frac{1}{cos ( θ ) - 1} d θ

y^{^{'''}} - 9 y^{^{''}} + 15 y^{^{'}} + 25 y = 0

\frac{\partial}{\partial x} (\frac{x}{v})

x \to 8 + lim (\frac{∣ x - 8 ∣}{x - 8})

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