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

The solution to expand 2y*derivative of (y(x^3(x-2))) is 2y derivative of x^4y-2x^3y

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expand 2y*derivative of (y(x^3(x-2)))

expand

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

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

Solution steps

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

Remove parentheses:

(a) = a

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

Expand

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

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

\frac{( 1 + x ) ( 1 + 2 x ) ( 1 + 3 x )}{x}

π^{8} (19 - 2 - y^{2})^{2}

\frac{- 2 x ^{5} + 2 x}{( x ^{4} + 1 ) ^{2}}

36 (π - 2)

\frac{( x ^{2} - 2 x - 15 ) ( x + 3 )}{( - x ^{2} - 1 ) ( x - 2 )}

What is expand 2y*derivative of (y(x^3(x-2))) ?
The solution to expand 2y*derivative of (y(x^3(x-2))) is 2y derivative of x^4y-2x^3y