de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=(x^2+3x)/6

Lösung

ableitung von

f (x) = \frac{x ^{2} + 3 x}{6}

Lösung

\frac{1}{6} (2 x + 3)

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2} + 3 x}{6})

Entferne die Konstante:

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

= \frac{1}{6} \frac{d}{d x} (x^{2} + 3 x)

Wende die Summen-/Differenzregel an:

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

= \frac{1}{6} (\frac{d}{d x} (x^{2}) + \frac{d}{d x} (3 x))

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

\frac{d}{d x} (3 x) = 3

= \frac{1}{6} (2 x + 3)

Graph

Beliebte Beispiele

integral of (6x^6-6x^5-4x^3+2)

\int (6 x^{6} - 6 x^{5} - 4 x^{3} + 2) d x

taylor ln(cos(x)),0

t a y l or ln (cos (x)), 0

derivative of (x+5^{2/3})

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

(dy)/(dx)=(x+y-2)^2

\frac{d y}{d x} = (x + y - 2)^{2}

derivative y= C/x

d er i v a t i v e y = \frac{C}{x}