de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=\sqrt[3]{t}+2sqrt(t^3)

Lösung

ableitung von

y = 3 t + 2 t^{3}

Lösung

\frac{1}{3 t ^{\frac{2}{3}}} + 3 t

Schritte zur Lösung

\frac{d}{d t} (3 t + 2 t^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (3 t) + \frac{d}{d t} (2 t^{3})

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

\frac{d}{d t} (2 t^{3}) = 3 t

= \frac{1}{3 t ^{\frac{2}{3}}} + 3 t

Graph

Beliebte Beispiele

integral from 0 to 3 of 1/((x-1)^2)

\int_{0}^{3} \frac{1}{( x - 1 ) ^{2}} d x

fläche y=6x-x^2,y=2x

a re a y = 6 x - x^{2}, y = 2 x

limit as x approaches 0 of 1/x ln(1-6x)

x \to 0 lim (\frac{1}{x} ln (1 - 6 x))

(dy)/(dx)=2.5-(5y)/(2x+100)

\frac{d y}{d x} = 2.5 - \frac{5 y}{2 x + 100}

integral of (9-x^2)^2

\int (9 - x^{2})^{2} d x