What is the derivative of |x+2|-2 ?

The derivative of |x+2|-2 is (x+2)/(|x+2|)

What is the first derivative of |x+2|-2 ?

The first derivative of |x+2|-2 is (x+2)/(|x+2|)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

∣ x + 2 ∣ - 2

\frac{x + 2}{∣ x + 2 ∣}

Solution steps

\frac{d}{d x} (∣ x + 2 ∣ - 2)

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{x + 2}{∣ x + 2 ∣} - 0

Simplify

= \frac{x + 2}{∣ x + 2 ∣}

What is the derivative of |x+2|-2 ?
The derivative of |x+2|-2 is (x+2)/(|x+2|)
What is the first derivative of |x+2|-2 ?
The first derivative of |x+2|-2 is (x+2)/(|x+2|)