What is expand y derivative of (y(x+3)(y^2+3)) ?

The solution to expand y derivative of (y(x+3)(y^2+3)) is y derivative of xy^3+3xy+3y^3+9y

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expand y derivative of (y(x+3)(y^2+3))

expand

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

y \frac{d}{d x} (x y^{3} + 3 x y + 3 y^{3} + 9 y)

Solution steps

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

Remove parentheses:

(a) = a

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

Expand

y (x + 3) (y^{2} + 3) : x y^{3} + 3 x y + 3 y^{3} + 9 y

= y \frac{d}{d x} (x y^{3} + 3 x y + 3 y^{3} + 9 y)

f (x, y) (x^{2} - 3 y) (x - 2)

6 a^{2} + 11 a + 3 a^{2}

(1 + e^{2 x})^{4} (2)

\frac{( 2 x - 1 ) ( 4 x ^{2} + 2 x + 1 )}{8}

\frac{( e + 1 ) ( e - 1 )}{e ^{2} + 1}

What is expand y derivative of (y(x+3)(y^2+3)) ?
The solution to expand y derivative of (y(x+3)(y^2+3)) is y derivative of xy^3+3xy+3y^3+9y