What is the derivative of 3-|x-8| ?

The derivative of 3-|x-8| is -(x-8)/(|x-8|)

What is the first derivative of 3-|x-8| ?

The first derivative of 3-|x-8| is -(x-8)/(|x-8|)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

3 - ∣ x - 8 ∣

- \frac{x - 8}{∣ x - 8 ∣}

Solution steps

\frac{d}{d x} (3 - ∣ x - 8 ∣)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3) - \frac{d}{d x} (∣ x - 8 ∣)

\frac{d}{d x} (3) = 0

\frac{d}{d x} (∣ x - 8 ∣) = \frac{x - 8}{∣ x - 8 ∣}

= 0 - \frac{x - 8}{∣ x - 8 ∣}

Simplify

= - \frac{x - 8}{∣ x - 8 ∣}

sin (2 x), \frac{π}{4}

\frac{d}{d x} (11 e^{\frac{1}{x}})

x \to 0 lim (\frac{tan ^{2} ( 3 x )}{x})

\frac{d}{d x} (f (x) (x)^{2})

\frac{d y}{d x} = \frac{y ^{2}}{x ^{2}} + \frac{y}{x} + 1

What is the derivative of 3-|x-8| ?
The derivative of 3-|x-8| is -(x-8)/(|x-8|)
What is the first derivative of 3-|x-8| ?
The first derivative of 3-|x-8| is -(x-8)/(|x-8|)