de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (x-2/(x+2))

Lösung

\frac{d}{d x} (\frac{x - 2}{x + 2})

Lösung

\frac{4}{( x + 2 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x - 2}{x + 2})

Wende die Quotientenregel an:

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

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

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

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

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

Vereinfache

\frac{1 \cdot ( x + 2 ) - 1 \cdot ( x - 2 )}{( x + 2 ) ^{2}} : \frac{4}{( x + 2 ) ^{2}}

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

Graph

Beliebte Beispiele

derivative y=xe^{ax}

d er i v a t i v e y = x e^{a x}

limit as x approaches-2 of x^2-5

x \to - 2 lim (x^{2} - 5)

f^{^{'}} (x) = 6 x

derivative f(x)= 2/(3x)

d er i v a t i v e f (x) = \frac{2}{3 x}

(dy)/(dx)=cos(x-y)

\frac{d y}{d x} = cos (x - y)