What is the derivative of f(x)=sqrt(x^2) ?

The derivative of f(x)=sqrt(x^2) is x/(|x|)

What is the first derivative of f(x)=sqrt(x^2) ?

The first derivative of f(x)=sqrt(x^2) is x/(|x|)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = x^{2}

\frac{x}{∣ x ∣}

Solution steps

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

Apply radical rule:

a^{2} = ∣ a ∣

= \frac{d}{d x} (∣ x ∣)

Apply the common derivative:

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

= \frac{x}{∣ x ∣}

What is the derivative of f(x)=sqrt(x^2) ?
The derivative of f(x)=sqrt(x^2) is x/(|x|)
What is the first derivative of f(x)=sqrt(x^2) ?
The first derivative of f(x)=sqrt(x^2) is x/(|x|)