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Beliebt Funktionen >

extreme (x+1)/(x^2-5x+6)

Lösung

extrempunkte

\frac{x + 1}{x ^{2} - 5 x + 6}

Lösung

Minimum (- 1 - 23, - 7 + 43), Maximum (23 - 1, - 43 - 7)

Schritte zur Lösung

f^{'} (x) = \frac{- x ^{2} - 2 x + 11}{( x ^{2} - 5 x + 6 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < - 1 - 23,

Ansteigend

: - 1 - 23 < x < 2,

Ansteigend

: 2 < x < - 1 + 23,

Absteigend

: - 1 + 23 < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = - 1 - 23

in

\frac{x + 1}{x ^{2} - 5 x + 6} : - 7 + 43

Minimum (- 1 - 23, - 7 + 43)

Stecke

x = 23 - 1

in

\frac{x + 1}{x ^{2} - 5 x + 6} : - 43 - 7

Maximum (23 - 1, - 43 - 7)

Minimum (- 1 - 23, - 7 + 43), Maximum (23 - 1, - 43 - 7)

Graph

Beliebte Beispiele

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