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

The answer to (\partial)/(\partial x)(2x^2y+2x) is 4yx+2

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

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

4 y x + 2

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (2 x^{2} y) = 4 y x

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

= 4 y x + 2

\int_{0}^{1} x e^{- 2 x^{2}} d x

(- 29) (- 2 - 5)

x \to - \infty lim (3 x^{6})

\frac{4 s + 20}{s ^{2} + 8 s + 16}

\frac{d ^{2}}{d x ^{2}} (\frac{8}{9 t ^{6}})

What is (\partial)/(\partial x)(2x^2y+2x) ?
The answer to (\partial)/(\partial x)(2x^2y+2x) is 4yx+2