What is expand (3xy^2-4y)+(3x-4x^2y)*(dy)/(dx) ?

The solution to expand (3xy^2-4y)+(3x-4x^2y)*(dy)/(dx) is 3xy^2-4y+3x(dy)/(dx)-4x^2y(dy)/(dx)

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expand (3xy^2-4y)+(3x-4x^2y)*(dy)/(dx)

expand

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) \cdot \frac{d y}{d x}

3 x y^{2} - 4 y + 3 x \frac{d y}{d x} - 4 x^{2} y \frac{d y}{d x}

Solution steps

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) \frac{d y}{d x}

Expand

\frac{d y}{d x} (3 x - 4 x^{2} y) : 3 x \frac{d y}{d x} - 4 x^{2} y \frac{d y}{d x}

= (3 x y^{2} - 4 y) + 3 x \frac{d y}{d x} - 4 x^{2} y \frac{d y}{d x}

Remove parentheses:

(a) = a

= 3 x y^{2} - 4 y + 3 x \frac{d y}{d x} - 4 x^{2} y \frac{d y}{d x}

(x - 3) (x - 2 - i) (x + 2 + i)

(ln (x))^{s e c (x)}

(3 - cos (x))^{2}

(x - 3 + 1)^{2}

\frac{( 4 x + 9 ) ^{\frac{3}{2}} - 27}{6}

What is expand (3xy^2-4y)+(3x-4x^2y)*(dy)/(dx) ?
The solution to expand (3xy^2-4y)+(3x-4x^2y)*(dy)/(dx) is 3xy^2-4y+3x(dy)/(dx)-4x^2y(dy)/(dx)