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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

- \frac{1}{y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= - \frac{1}{y} \cdot 1

Simplify

= - \frac{1}{y}

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