What is expand ((x^2+xy)dy)/(dx) ?

The solution to expand ((x^2+xy)dy)/(dx) is (x^2dy)/(dx)+(xydy)/(dx)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((x^2+xy)dy)/(dx)

expand

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

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

Solution steps

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

Expand

(x^{2} + x y) d y : x^{2} d y + x y d y

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

(y^{2} - 1) \frac{d x}{d y}

(c + Δ x)^{3}

e^{\frac{2}{x}} (x + 5)

\frac{3 ( x - 5 ) ^{2}}{4}

\frac{x + 6}{( x - 3 ) ( x - 4 )}

What is expand ((x^2+xy)dy)/(dx) ?
The solution to expand ((x^2+xy)dy)/(dx) is (x^2dy)/(dx)+(xydy)/(dx)