de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative x^{1/3}-x^{-2/3}

Lösung

ableitung von

x^{\frac{1}{3}} - x^{- \frac{2}{3}}

Lösung

\frac{1}{3 x ^{\frac{2}{3}}} + \frac{2}{3 x ^{\frac{5}{3}}}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{1}{3}} - x^{- \frac{2}{3}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{\frac{1}{3}}) - \frac{d}{d x} (x^{- \frac{2}{3}})

\frac{d}{d x} (x^{\frac{1}{3}}) = \frac{1}{3 x ^{\frac{2}{3}}}

\frac{d}{d x} (x^{- \frac{2}{3}}) = - \frac{2}{3 x ^{\frac{5}{3}}}

= \frac{1}{3 x ^{\frac{2}{3}}} - (- \frac{2}{3 x ^{\frac{5}{3}}})

Vereinfache

= \frac{1}{3 x ^{\frac{2}{3}}} + \frac{2}{3 x ^{\frac{5}{3}}}

Graph

Beliebte Beispiele

limit as x approaches+0 of 2x^2cos(5/x)

(\partial)/(\partial x)(e^x-2-cos(xy))

derivative of 3/(5+x)

integral of 1/(sqrt(x)+4)

y^'=(2cos(y))/(sin(y))