What is expand (1+x)(dy)/(dx) ?

The solution to expand (1+x)(dy)/(dx) is (dy)/(dx)+x(dy)/(dx)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (1+x)(dy)/(dx)

expand

(1 + x) \frac{d y}{d x}

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

Solution steps

(1 + x) \frac{d y}{d x}

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{d y}{d x}, b = 1, c = x

= \frac{d y}{d x} 1 + \frac{d y}{d x} x

= 1 \frac{d y}{d x} + x \frac{d y}{d x}

Multiply:

1 \frac{d y}{d x} = \frac{d y}{d x}

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

sin (x (t - 2))

\frac{( 1 + y ) ^{3}}{3}

\frac{1}{( x ^{2} - 10 x + 35 ) ^{3}}

\frac{1}{( x + 100 ) ( x + 200 )}

\frac{a}{( s + a ) ( s + b )}

What is expand (1+x)(dy)/(dx) ?
The solution to expand (1+x)(dy)/(dx) is (dy)/(dx)+x(dy)/(dx)