What is the derivative of | x/2 | ?

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

What is the first derivative of | x/2 | ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{x}{2 ∣ x ∣}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= \frac{\frac{x}{2}}{\frac{x}{2}} \cdot \frac{1}{2}

Simplify

\frac{\frac{x}{2}}{\frac{x}{2}} \cdot \frac{1}{2} : \frac{x}{2 ∣ x ∣}

= \frac{x}{2 ∣ x ∣}

y^{^{''}} - y^{^{'}} + \frac{1}{4} y = 0

x \to - 1 + lim (\frac{3 x - 5}{x + 1})

- \frac{3}{x}

(arctan (cos (x)))^{^{'}}

y^{^{''}} - y^{^{'}} - 6 y = 20 e^{- 2 x}

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