en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (derivative of (y(x^2+xy+y^2)))/(x^2)

Solution

expand

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

Solution

\frac{\frac{d}{d x} ( x ^{2} y + x y ^{2} + y ^{3} )}{x ^{2}}

Solution steps

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

Remove parentheses:

(a) = a

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

Expand

y (x^{2} + x y + y^{2}) : x^{2} y + x y^{2} + y^{3}

= \frac{\frac{d}{d x} ( x ^{2} y + x y ^{2} + y ^{3} )}{x ^{2}}

Popular Examples

expand (s^2+6s+5)/((x+3)(x^2+25))expand

\frac{s ^{2} + 6 s + 5}{( x + 3 ) ( x ^{2} + 25 )}

expand ((b+2)(a+1))/2 expand

\frac{( b + 2 ) ( a + 1 )}{2}

expand ((1+cos(2x))/2)((1+cos(2x))/2)expand

(\frac{1 + cos ( 2 x )}{2}) (\frac{1 + cos ( 2 x )}{2})

expand (ln(x+0.3)-(\sqrt[3]{2x-5}))^2 expand

expand ,(2/3 x+2/3)((4y)/3+1/3)expand

, (\frac{2}{3} x + \frac{2}{3}) (\frac{4 y}{3} + \frac{1}{3})

Frequently Asked Questions (FAQ)

What is expand (derivative of (y(x^2+xy+y^2)))/(x^2) ?
The solution to expand (derivative of (y(x^2+xy+y^2)))/(x^2) is (derivative of x^2y+xy^2+y^3)/(x^2)