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)=e^{(x^2-x)}

Lösung

ableitung von

f (x) = e^{(x^{2} - x)}

Lösung

e^{x^{2} - x} (2 x - 1)

Schritte zur Lösung

\frac{d}{d x} (e^{x^{2} - x})

Wende die Kettenregel an:

e^{x^{2} - x} \frac{d}{d x} (x^{2} - x)

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

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

= e^{x^{2} - x} (2 x - 1)

Graph

Beliebte Beispiele

integral of e^x-xe^{x^2}

\int e^{x} - x e^{x^{2}} d x

derivative ln(81sin^2(x))

d er i v a t i v e ln (81 sin^{2} (x))

integral of (200)/(20-3x)

\int \frac{200}{20 - 3 x} d x

limit as x approaches 1 of x^3+1

x \to 1 lim (x^{3} + 1)

limit as x approaches infinity of 5*x

x \to \infty lim (5 \cdot x)