de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

((x^2)/(x^2-x-2))^'

Lösung

(\frac{x ^{2}}{x ^{2} - x - 2})^{^{'}}

Lösung

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

Schritte zur Lösung

(\frac{x ^{2}}{x ^{2} - x - 2})^{'}

Wende die Quotientenregel an:

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

= \frac{( x ^{2} ) ^{^{'}} ( x ^{2} - x - 2 ) - ( x ^{2} - x - 2 ) ^{^{'}} x ^{2}}{( x ^{2} - x - 2 ) ^{2}}

(x^{2})^{'} = 2 x

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

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

Multipliziere aus

2 x (x^{2} - x - 2) - (2 x - 1) x^{2} : - x^{2} - 4 x

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

Graph

Beliebte Beispiele

inverselaplace (2s-3)/((s+4)(s-3)^3)

in v erse l a pl a ce \frac{2 s - 3}{( s + 4 ) ( s - 3 ) ^{3}}

integral of (15x^4)/(x^5+7)

\int \frac{15 x ^{4}}{x ^{5} + 7} d x

integral of (sin(20t))/(sin(10t))

\int \frac{sin ( 20 t )}{sin ( 10 t )} d x

integral of 3x^5-5x^9

\int 3 x^{5} - 5 x^{9} d x

d y = 2 t (y^{2} + 9) d t