What is expand 3x^2+6xy^2+(6x^2y+4y^2)y'(x) ?

The solution to expand 3x^2+6xy^2+(6x^2y+4y^2)y'(x) is 3x^2+6xy^2+6x^2y'(x)y+4y'(x)y^2

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expand 3x^2+6xy^2+(6x^2y+4y^2)y'(x)

expand

3 x^{2} + 6 x y^{2} + (6 x^{2} y + 4 y^{2}) y^{'} (x)

3 x^{2} + 6 x y^{2} + 6 x^{2} y' (x) y + 4 y' (x) y^{2}

Solution steps

3 x^{2} + 6 x y^{2} + (6 x^{2} y + 4 y^{2}) y^{'} (x)

Expand

y^{'} (x) (6 x^{2} y + 4 y^{2}) : 6 x^{2} y^{'} (x) y + 4 y^{'} (x) y^{2}

= 3 x^{2} + 6 x y^{2} + 6 x^{2} y^{'} (x) y + 4 y^{'} (x) y^{2}

7 (\frac{1}{9} a + 2)

(- 2 t - 2 i t^{2} + 4 i) (t - i t^{2} - 2 i) (- 1 + 2 i t)

x 1 - 2 (y)^{2}

(a + 1)^{2}

(- 2 - 2 i)^{5}

What is expand 3x^2+6xy^2+(6x^2y+4y^2)y'(x) ?
The solution to expand 3x^2+6xy^2+(6x^2y+4y^2)y'(x) is 3x^2+6xy^2+6x^2y'(x)y+4y'(x)y^2