de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative derivative of ((e^x)/x)

Lösung

ableitung von

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

Lösung

\frac{e ^{x} x - e ^{x}}{x ^{2}}

Schritte zur Lösung

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

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

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

= \frac{e ^{x} x - 1 \cdot e ^{x}}{x ^{2}}

Vereinfache

= \frac{e ^{x} x - e ^{x}}{x ^{2}}

Graph

Beliebte Beispiele

limit as x approaches infinity of (x,x,(sqrt(x)+x^2))/((2x-x^2))

x \to \infty lim (\frac{x , x , ( x + x ^{2} )}{( 2 x - x ^{2} )})

derivative of y= 7/x

\frac{d}{d x} y = \frac{7}{x}

derivative derivative of 8/x

d er i v a t i v e \frac{d}{d x} (\frac{8}{x})

derivative derivative of tan(x/2)

d er i v a t i v e \frac{d}{d x} (tan (\frac{x}{2}))

derivative derivative of e^2

d er i v a t i v e \frac{d}{d x} (e^{2})