de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of |x|+|x-1|

Lösung

\frac{d}{d x} (∣ x ∣ + ∣ x - 1 ∣)

Lösung

\frac{x}{∣ x ∣} + \frac{x - 1}{∣ x - 1 ∣}

Schritte zur Lösung

\frac{d}{d x} (∣ x ∣ + ∣ x - 1 ∣)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (∣ x ∣) + \frac{d}{d x} (∣ x - 1 ∣)

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

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

= \frac{x}{∣ x ∣} + \frac{x - 1}{∣ x - 1 ∣}

Graph

Beliebte Beispiele

derivative of xtan(2sqrt(x))

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

(\partial)/(\partial x)(sin(x^3))

\frac{\partial}{\partial x} (sin (x^{3}))

limit as x approaches 3+of (2x+1)/(x-3)

x \to 3 + lim (\frac{2 x + 1}{x - 3})

integral of sin(4pit)

\int sin (4 π t) d t

integral of sqrt(2t^4+2)

\int 2 t^{4} + 2 d t