What is the derivative of (1-5x/x) ?

The derivative of (1-5x/x) is -1/(x^2)

What is the first derivative of (1-5x/x) ?

The first derivative of (1-5x/x) is -1/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{1 - 5 x}{x})

- \frac{1}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{1 - 5 x}{x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( 1 - 5 x ) x - \frac{d x}{d x} ( 1 - 5 x )}{x ^{2}}

\frac{d}{d x} (1 - 5 x) = - 5

\frac{d x}{d x} = 1

= \frac{( - 5 ) x - 1 \cdot ( 1 - 5 x )}{x ^{2}}

Simplify

\frac{( - 5 ) x - 1 \cdot ( 1 - 5 x )}{x ^{2}} : - \frac{1}{x ^{2}}

= - \frac{1}{x ^{2}}

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

2 x^{2} + \frac{1}{x ^{2}}

\int \frac{x ^{3}}{( x ^{2} - 256 ) ^{\frac{3}{2}}} d x

(0, - 10), (6, 10)

\frac{2}{5 x ^{3}}

What is the derivative of (1-5x/x) ?
The derivative of (1-5x/x) is -1/(x^2)
What is the first derivative of (1-5x/x) ?
The first derivative of (1-5x/x) is -1/(x^2)