What is expand 4(2xy+derivative of (yx^2)) ?

The solution to expand 4(2xy+derivative of (yx^2)) is 8xy+4 derivative of x^2y

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expand 4(2xy+derivative of (yx^2))

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = 4, b = 2 x y, c = \frac{d}{d x} ((y) x^{2})

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

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

Simplify

4 \cdot 2 x y + 4 \frac{d}{d x} (x^{2} (y)) : 8 x y + 4 \frac{d}{d x} (x^{2} y)

= 8 x y + 4 \frac{d}{d x} (x^{2} y)

(x^{2} - \frac{1}{x})^{9}

(6 - x) \cdot (4 x^{2} - 2)

(6 - 2 i)^{4}

\frac{x + 3}{y ( z + 5 )}

\frac{1}{( 0.5 s + 1 ) ( 0.05 s + 1 ) ( 0.02 s + 1 )}

What is expand 4(2xy+derivative of (yx^2)) ?
The solution to expand 4(2xy+derivative of (yx^2)) is 8xy+4 derivative of x^2y