What is expand (-2x+y)(dy)/(dx) ?

The solution to expand (-2x+y)(dy)/(dx) is -2x(dy)/(dx)+y(dy)/(dx)

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expand (-2x+y)(dy)/(dx)

expand

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

- 2 x \frac{d y}{d x} + y \frac{d y}{d x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{d y}{d x}, b = - 2 x, c = y

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

Apply minus-plus rules

+ (- a) = - a

= - 2 x \frac{d y}{d x} + y \frac{d y}{d x}

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

\frac{2 ( 2299 11 - 1029 21 )}{4375}

\frac{( x - 1 ) ^{4} n ( x ^{3} + 8 ) ( x - 4 )}{( x ^{2} - 2 x + 2 )}

(3 + 4 y^{2} + 4 y)^{5}

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

What is expand (-2x+y)(dy)/(dx) ?
The solution to expand (-2x+y)(dy)/(dx) is -2x(dy)/(dx)+y(dy)/(dx)