What is (\partial)/(\partial y)(y/x) ?

The answer to (\partial)/(\partial y)(y/x) is 1/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(y/x)

\frac{\partial}{\partial y} (\frac{y}{x})

\frac{1}{x}

Solution steps

\frac{\partial}{\partial y} (\frac{y}{x})

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{x} \frac{\partial}{\partial y} (y)

Apply the common derivative:

\frac{\partial}{\partial y} (y) = 1

= \frac{1}{x} \cdot 1

Simplify

= \frac{1}{x}

\int - 25 cos (x) d x

\frac{9}{s ^{3} + 9 s ^{2} + 9 s}

\frac{d}{d x} (\frac{( x ^{3} )}{3} - \frac{( x ^{2} )}{2} - 2 x - 1)

\int 100 sin (500 x) d x

\frac{1}{8 x} \frac{d y}{d x} = y 4 x^{2} - 1

What is (\partial)/(\partial y)(y/x) ?
The answer to (\partial)/(\partial y)(y/x) is 1/x