What is expand (x+5)(2y)(dy)/(dx) ?

The solution to expand (x+5)(2y)(dy)/(dx) is 2xy(dy)/(dx)+10y(dy)/(dx)

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expand (x+5)(2y)(dy)/(dx)

expand

(x + 5) (2 y) \frac{d y}{d x}

2 x y \frac{d y}{d x} + 10 y \frac{d y}{d x}

Solution steps

(x + 5) (2 y) \frac{d y}{d x}

Apply the distributive law:

a (b + c) = ab + a c

a = (2 y) \frac{d y}{d x}, b = x, c = 5

= (2 y) \frac{d y}{d x} x + (2 y) \frac{d y}{d x} 5

= x (2 y) \frac{d y}{d x} + 5 (2 y) \frac{d y}{d x}

Simplify

x (2 y) \frac{d y}{d x} + 5 (2 y) \frac{d y}{d x} : 2 x y \frac{d y}{d x} + 10 y \frac{d y}{d x}

= 2 x y \frac{d y}{d x} + 10 y \frac{d y}{d x}

(4 e - 6) (ey + 3 e)

(x_{- 7})^{2}

\frac{8 ( n + 1 )}{n}

d y (4 t^{3} y - 21 t^{2} - y)

e^{(2 - 3 i) x}

What is expand (x+5)(2y)(dy)/(dx) ?
The solution to expand (x+5)(2y)(dy)/(dx) is 2xy(dy)/(dx)+10y(dy)/(dx)