What is (\partial)/(\partial x)(1-5/y+x) ?

The answer to (\partial)/(\partial x)(1-5/y+x) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(1-5/y+x)

\frac{\partial}{\partial x} (1 - \frac{5}{y} + x)

1

Solution steps

\frac{\partial}{\partial x} (1 - \frac{5}{y} + x)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (1) - \frac{\partial}{\partial x} (\frac{5}{y}) + \frac{\partial}{\partial x} (x)

\frac{\partial}{\partial x} (1) = 0

\frac{\partial}{\partial x} (\frac{5}{y}) = 0

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

= 0 - 0 + 1

Simplify

= 1

What is (\partial)/(\partial x)(1-5/y+x) ?
The answer to (\partial)/(\partial x)(1-5/y+x) is 1