What is (\partial)/(\partial x)(-y-(2x)/(y^3)) ?

The answer to (\partial)/(\partial x)(-y-(2x)/(y^3)) is -2/(y^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(-y-(2x)/(y^3))

\frac{\partial}{\partial x} (- y - \frac{2 x}{y ^{3}})

- \frac{2}{y ^{3}}

Solution steps

\frac{\partial}{\partial x} (- y - \frac{2 x}{y ^{3}})

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{\partial}{\partial x} (y) - \frac{\partial}{\partial x} (\frac{2 x}{y ^{3}})

\frac{\partial}{\partial x} (y) = 0

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

= - 0 - \frac{2}{y ^{3}}

Simplify

= - \frac{2}{y ^{3}}

What is (\partial)/(\partial x)(-y-(2x)/(y^3)) ?
The answer to (\partial)/(\partial x)(-y-(2x)/(y^3)) is -2/(y^3)