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

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

Popular >

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

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

3 - 2 y^{2} x + 6 y x^{2}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (3 x) = 3

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

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

= 3 - 2 y^{2} x + 6 y x^{2}

\frac{d}{d x} (2 x^{- \frac{1}{3}})

\int 24 + 12 x + 3 x^{2} d x

\frac{5}{2 x}

\frac{\partial}{\partial x} (\frac{1}{4 π t} e^{- \frac{x ^{2}}{4 t}})

\frac{\partial}{\partial x} (\frac{x y}{5 x + 3 y})

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