de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 6x^{1/3}

Lösung

\frac{d}{d x} (6 x^{\frac{1}{3}})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (6 x^{\frac{1}{3}})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d x} (x^{\frac{1}{3}})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 6 \cdot \frac{1}{3} x^{\frac{1}{3} - 1}

Vereinfache

6 \cdot \frac{1}{3} x^{\frac{1}{3} - 1} : \frac{2}{x ^{\frac{2}{3}}}

= \frac{2}{x ^{\frac{2}{3}}}

Graph

Beliebte Beispiele

integral of 11tan^3(θ)

\int 11 tan^{3} (θ) d θ

limit as x approaches 2 of (3-sqrt(4x+1))/((x^2-2x))

x \to 2 lim (\frac{3 - 4 x + 1}{( x ^{2} - 2 x )})

y^'=(6x^5y)/(ln(y))

y^{^{'}} = \frac{6 x ^{5} y}{ln ( y )}

integral of 3x^2+4x

\int 3 x^{2} + 4 x d x

limit as t approaches 0 of (e^t-t-1)/t

t \to 0 lim (\frac{e ^{t} - t - 1}{t})