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 x/((x+1))

Lösung

ableitung von

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

Lösung

\frac{1}{( x + 1 ) ^{2}}

Schritte zur Lösung

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

Wende die Quotientenregel an:

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

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

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

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

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

1 \cdot (x + 1) - 1 \cdot x = 1

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

Graph

Beliebte Beispiele

integral (-1)/u

in t e g r a l \frac{- 1}{u}

\frac{d y}{d x} y = 2 x

derivative derivative of x^{1/2}

d er i v a t i v e \frac{d}{d x} (x^{\frac{1}{2}})

derivative of y=sin(x)

\frac{d}{d x} y = sin (x)

secondderivative f(x)=cos(2x)

seco n dd er i v a t i v e f (x) = cos (2 x)