What is the derivative of f(x)=|x-9| ?

The derivative of f(x)=|x-9| is (x-9)/(|x-9|)

What is the first derivative of f(x)=|x-9| ?

The first derivative of f(x)=|x-9| is (x-9)/(|x-9|)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = ∣ x - 9 ∣

\frac{x - 9}{∣ x - 9 ∣}

Solution steps

\frac{d}{d x} (∣ x - 9 ∣)

Apply the chain rule:

\frac{x - 9}{∣ ( x - 9 ) ∣} \frac{d}{d x} (x - 9)

= \frac{x - 9}{∣ ( x - 9 ) ∣} \frac{d}{d x} (x - 9)

\frac{d}{d x} (x - 9) = 1

= \frac{x - 9}{∣ ( x - 9 ) ∣} \cdot 1

Simplify

= \frac{x - 9}{∣ x - 9 ∣}

arctan (2 t)

\frac{- u ^{2} + 5}{( u ^{2} + 5 ) ^{2}}

\int ln (9 x + 7) d x

f (x) = (2 x^{2} - 3)^{2}

\int_{1}^{3} (3 x^{2} + 5 x - 4) d x

What is the derivative of f(x)=|x-9| ?
The derivative of f(x)=|x-9| is (x-9)/(|x-9|)
What is the first derivative of f(x)=|x-9| ?
The first derivative of f(x)=|x-9| is (x-9)/(|x-9|)