What is the derivative of (x-3/x) ?

The derivative of (x-3/x) is 3/(x^2)

What is the first derivative of (x-3/x) ?

The first derivative of (x-3/x) is 3/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (\frac{x - 3}{x})

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

Solution steps

\frac{d}{d x} (\frac{x - 3}{x})

Apply the Quotient Rule:

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

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

\frac{d}{d x} (x - 3) = 1

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

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

Simplify

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

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

\int csc^{2} (u) d u

\int sin (\frac{1}{6} x) d x

\int_{1}^{2} \frac{1}{x ^{2} + 3 x} d x

\int \frac{6}{x ^{2} - 9} d x

\int \frac{x ^{2}}{( 81 + x ^{2} ) ^{2}} d x

What is the derivative of (x-3/x) ?
The derivative of (x-3/x) is 3/(x^2)
What is the first derivative of (x-3/x) ?
The first derivative of (x-3/x) is 3/(x^2)