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

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

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

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

2 x + 2 y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (y^{2}) = 0

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

= 2 x + 0 + 2 y

Simplify

= 2 x + 2 y

\int 7 e^{- 0.8 x} d x

x \to \infty lim (x \frac{1}{2})

x \to 0 lim (x^{2} csc^{2} (\frac{x}{2}))

(- 9, 6), (- 6, - 9)

\int r^{4} (7 - \frac{r ^{5}}{10})^{3} d r

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