de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative x^4+5x^2-x

Lösung

ableitung von

x^{4} + 5 x^{2} - x

Lösung

4 x^{3} + 10 x - 1

Schritte zur Lösung

\frac{d}{d x} (x^{4} + 5 x^{2} - x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (5 x^{2}) - \frac{d x}{d x}

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

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d x}{d x} = 1

= 4 x^{3} + 10 x - 1

Graph

Beliebte Beispiele

derivative f(x)=8e^e

d er i v a t i v e f (x) = 8 e^{e}

derivative x^2e^x-2xe^x+6e^x

d er i v a t i v e x^{2} e^{x} - 2 x e^{x} + 6 e^{x}

integral from 2 to 2x of sqrt(15-t)

\int_{2}^{2 x} 15 - t d t

derivative y=x^5cos(x)

d er i v a t i v e y = x^{5} cos (x)

derivative of a(x+1(x-r))

\frac{d}{d x} (a (x + 1) (x - r))