What is expand 2(2xy^2+2y derivative of (yx^2)) ?

The solution to expand 2(2xy^2+2y derivative of (yx^2)) is 4xy^2+4y derivative of x^2y

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expand 2(2xy^2+2y derivative of (yx^2))

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = 2, b = 2 x y^{2}, c = 2 y \frac{d}{d x} ((y) x^{2})

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

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

Simplify

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

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

\frac{( x ^{'} - 3 2 ) ^{2}}{16}

(csc (x) + 1) l e f t (csc (x) - 1) a n^{2} x

(1 + 9 - x^{2}) d x

2 (2 x + 3 = 21)

\frac{( 7 a - 14 )}{2 ( a - 2 b )}

What is expand 2(2xy^2+2y derivative of (yx^2)) ?
The solution to expand 2(2xy^2+2y derivative of (yx^2)) is 4xy^2+4y derivative of x^2y