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

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

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

The first derivative of (2x-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

Popular >

derivative of

\frac{2 x - 3}{x}

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

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

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

y = x + 2 sin (x) + 2

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

sin^{2} (3 x - 2)

3^{3 - x}

x^{2} + 5 x - 3

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