de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 12x^{1/2}

Lösung

\frac{d}{d x} (12 x^{\frac{1}{2}})

Lösung

\frac{6}{x ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{d}{d x} (12 x^{\frac{1}{2}})

Entferne die Konstante:

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

= 12 \frac{d}{d x} (x^{\frac{1}{2}})

Wende die Potenzregel an:

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

= 12 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Vereinfache

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

= \frac{6}{x ^{\frac{1}{2}}}

Graph

Beliebte Beispiele

integral of sin(9)

\int sin (9)

integral of 1/(5-3x^2)

\int \frac{1}{5 - 3 x ^{2}} d x

integral of (e^y)/(e^y+1)

\int \frac{e ^{y}}{e ^{y} + 1} d y

integral of 1/(5x^3-7x^2)

\int \frac{1}{5 x ^{3} - 7 x ^{2}} d x

fläche x^2,x^k0,1

a re a x^{2}, x^{k} 0, 1