What is expand 3y^2x^2+2xy+(yx^3+2y^2)(dy)/(dx) ?

The solution to expand 3y^2x^2+2xy+(yx^3+2y^2)(dy)/(dx) is 3y^2x^2+2xy+yx^3(dy)/(dx)+2y^2(dy)/(dx)

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expand 3y^2x^2+2xy+(yx^3+2y^2)(dy)/(dx)

expand

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

3 y^{2} x^{2} + 2 x y + y x^{3} \frac{d y}{d x} + 2 y^{2} \frac{d y}{d x}

Solution steps

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

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

Expand

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

= 3 y^{2} x^{2} + 2 x y + y x^{3} \frac{d y}{d x} + 2 y^{2} \frac{d y}{d x}

\frac{1}{3 ( 5 a - 2 b )}

4.8 (0.5 d + \frac{a - b}{2.4})

\frac{\partial}{\partial x} ((z) (x^{2} e^{y} + 10 y))

(2 + 4 i)^{3}

What is expand 3y^2x^2+2xy+(yx^3+2y^2)(dy)/(dx) ?
The solution to expand 3y^2x^2+2xy+(yx^3+2y^2)(dy)/(dx) is 3y^2x^2+2xy+yx^3(dy)/(dx)+2y^2(dy)/(dx)