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

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

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

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

2 y + 2 x

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y + 2 x

\int 3 e^{5 x} d x

n = 1 \sum \infty n^{2} \cdot (0.5)^{n}

\int_{1}^{\infty} 14 e^{- 7 x} d x

\frac{d y}{d x} = - 8 x y^{2}

\frac{\partial}{\partial x} (2 x^{2} y + 3 x y^{2})

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