What is the derivative of (x^2-4/(x-2)) ?

The derivative of (x^2-4/(x-2)) is 1

What is the first derivative of (x^2-4/(x-2)) ?

The first derivative of (x^2-4/(x-2)) is 1

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 ^{2} - 4}{x - 2})

1

Solution steps

\frac{d}{d x} (\frac{x ^{2} - 4}{x - 2})

Simplify

\frac{x ^{2} - 4}{x - 2} : x + 2

= \frac{d}{d x} (x + 2)

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (2)

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

\frac{d}{d x} (2) = 0

= 1 + 0

Simplify

= 1

What is the derivative of (x^2-4/(x-2)) ?
The derivative of (x^2-4/(x-2)) is 1
What is the first derivative of (x^2-4/(x-2)) ?
The first derivative of (x^2-4/(x-2)) is 1