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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (2 - 5, - \frac{10 - 4 5}{5}), Minimum (2 + 5, \frac{10 + 4 5}{5})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 2 - 5,

Absteigend

: 2 - 5 < x < 2,

Absteigend

: 2 < x < 2 + 5,

Ansteigend

: 2 + 5 < x < \infty

Stecke

x = 2 - 5

in

\frac{x ^{2} + 1}{x - 2} : - \frac{10 - 4 5}{5}

Maximum (2 - 5, - \frac{10 - 4 5}{5})

Stecke

x = 2 + 5

in

\frac{x ^{2} + 1}{x - 2} : \frac{10 + 4 5}{5}

Minimum (2 + 5, \frac{10 + 4 5}{5})

Maximum (2 - 5, - \frac{10 - 4 5}{5}), Minimum (2 + 5, \frac{10 + 4 5}{5})

Graph

Beliebte Beispiele

in v erse - (x + 1)^{3}

invers f(x)=sqrt(1-x)+5

in v erse f (x) = 1 - x + 5

interzeption f(x)=(4-x^2)/(7+x^2)

in t erce pt s f (x) = \frac{4 - x ^{2}}{7 + x ^{2}}

slopeintercept 17(7-5)

s l o p e in t erce pt 17 (7 - 5)

extreme f(x)=3x-x^3

e x t re m e f (x) = 3 x - x^{3}