What is (\partial)/(\partial x)(3x^2y+2xy^2) ?

The answer to (\partial)/(\partial x)(3x^2y+2xy^2) is 6yx+2y^2

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(\partial)/(\partial x)(3x^2y+2xy^2)

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

6 y x + 2 y^{2}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (3 x^{2} y) = 6 y x

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

= 6 y x + 2 y^{2}

x \to 3 lim (tan (\frac{3 π}{4}))

\int \frac{1}{2 x + x} d x

\int r e^{\frac{r}{3}} d r

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

x \to \infty + lim (x^{3})

What is (\partial)/(\partial x)(3x^2y+2xy^2) ?
The answer to (\partial)/(\partial x)(3x^2y+2xy^2) is 6yx+2y^2