de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Funktionen >

extreme f(x)=(2x^2-x-2)/(x+1)

Lösung

extrempunkte

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

Lösung

Maximum (- \frac{2 + 1}{2}, - 5 - 22), Minimum (\frac{- 2 + 2}{2}, 22 - 5)

Schritte zur Lösung

f^{'} (x) = \frac{2 x ^{2} + 4 x + 1}{( x + 1 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{1 + 2}{2},

Absteigend

: - \frac{1 + 2}{2} < x < - 1,

Absteigend

: - 1 < x < \frac{1 - 2}{2},

Ansteigend

: \frac{1 - 2}{2} < x < \infty

Stecke

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

in

\frac{2 x ^{2} - x - 2}{x + 1} : - 5 - 22

Maximum (- \frac{2 + 1}{2}, - 5 - 22)

Stecke

x = \frac{- 2 + 2}{2}

in

\frac{2 x ^{2} - x - 2}{x + 1} : 22 - 5

Minimum (\frac{- 2 + 2}{2}, 22 - 5)

Maximum (- \frac{2 + 1}{2}, - 5 - 22), Minimum (\frac{- 2 + 2}{2}, 22 - 5)

Graph

Beliebte Beispiele

extreme f(x,y)=2x^2y-2x^2-y^2

extreme f(x)=6x^2+7y^2

extreme f(x,y)=-8-6x+3x^2+8y+5y^2

extreme (xy)/(e^{x^2+y^2)}

extreme f(x)=4y^3+x^2-12y-36y+2