de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 1/3 x^3+2x-4

Lösung

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

Lösung

x^{2} + 2

Schritte zur Lösung

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

Vereinfache

\frac{1}{3} x^{3} + 2 x - 4 : \frac{x ^{3}}{3} + 2 x - 4

= \frac{d}{d x} (\frac{x ^{3}}{3} + 2 x - 4)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{3}}{3}) + \frac{d}{d x} (2 x) - \frac{d}{d x} (4)

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

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

\frac{d}{d x} (4) = 0

= x^{2} + 2 - 0

Vereinfache

= x^{2} + 2

Graph

Beliebte Beispiele

sum from n=0 to infinity of (6/5)^n

n = 0 \sum \infty (\frac{6}{5})^{n}

tangent f(x)=x^3-x

t an g e n t f (x) = x^{3} - x

integral of 4t^3cos(t^4+1)

\int 4 t^{3} cos (t^{4} + 1) d t

derivative 1/(arctan(x))

d er i v a t i v e \frac{1}{arctan ( x )}

integral of (x^2+5)^3x

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