What is expand (3xy^2-4y)+(3x-4x^2y)y'(x) ?

The solution to expand (3xy^2-4y)+(3x-4x^2y)y'(x) is 3xy^2-4y+3xy'(x)-4x^2y'(x)y

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expand (3xy^2-4y)+(3x-4x^2y)y'(x)

expand

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) y^{'} (x)

3 x y^{2} - 4 y + 3 x y' (x) - 4 x^{2} y' (x) y

Solution steps

(3 x y^{2} - 4 y) + (3 x - 4 x^{2} y) y^{'} (x)

Expand

y^{'} (x) (3 x - 4 x^{2} y) : 3 x y^{'} (x) - 4 x^{2} y^{'} (x) y

= (3 x y^{2} - 4 y) + 3 x y^{'} (x) - 4 x^{2} y^{'} (x) y

Remove parentheses:

(a) = a

= 3 x y^{2} - 4 y + 3 x y^{^{'}} (x) - 4 x^{2} y^{^{'}} (x) y

(x - 4) (x - \frac{2}{3})

\frac{d ^{2}}{d x ^{2}} ((y) (- 5 x^{2} + 5 x))

(x 2 + x) (2 - x)

(6 e - 3 f - 4) 2

(4 x y + 2 x sin (y)) d x + (2 x^{2} + x^{2} cos (y)) d y

What is expand (3xy^2-4y)+(3x-4x^2y)y'(x) ?
The solution to expand (3xy^2-4y)+(3x-4x^2y)y'(x) is 3xy^2-4y+3xy'(x)-4x^2y'(x)y