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+1)/x

Lösung

ableitung von

f (x) = \frac{x + 1}{x}

Lösung

- \frac{1}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x + 1}{x})

Wende die Quotientenregel an:

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

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

\frac{d}{d x} (x + 1) = 1

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

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

Vereinfache

\frac{1 \cdot x - 1 \cdot ( x + 1 )}{x ^{2}} : - \frac{1}{x ^{2}}

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

Graph

Beliebte Beispiele

derivative of 1/(1+cos(x))

\frac{d}{d x} (\frac{1}{1 + cos ( x )})

derivative \sqrt[n]{a}

d er i v a t i v e n a

derivative f(x)=e^9

d er i v a t i v e f (x) = e^{9}

limit as w approaches a of (a^2-w^2)/(a-w)

w \to a lim (\frac{a ^{2} - w ^{2}}{a - w})

integral of e^{1-5x}

\int e^{1 - 5 x} d x