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Beliebt Funktionen >

extreme (sqrt(x^2+1))/(sqrt(1-x))

Lösung

extrempunkte

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

Lösung

Minimum (1 - 2, \frac{4 - 2 2}{4 2})

Schritte zur Lösung

f^{'} (x) = \frac{2 x - x ^{2} + 1}{2 x ^{2} + 1 ( - x + 1 ) ^{\frac{3}{2}}}

Intervalle finden:

Absteigend

: - \infty < x < 1 - 2,

Ansteigend

: 1 - 2 < x < 1

Stecke

x = 1 - 2

in

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

Minimum (1 - 2, \frac{4 - 2 2}{4 2})

Graph

Beliebte Beispiele

extreme f(x)=6x^3-9x^2-216x+3

e x t re m e f (x) = 6 x^{3} - 9 x^{2} - 216 x + 3

extreme f(x)=-x^2+6,-3<= x<= 4

e x t re m e f (x) = - x^{2} + 6, - 3 \leq x \leq 4

extreme f(x)=6-5x-x^3

e x t re m e f (x) = 6 - 5 x - x^{3}

extreme f(x)=(x^2-2x+1)/(x-9)

e x t re m e f (x) = \frac{x ^{2} - 2 x + 1}{x - 9}

extreme f(x)=(x+3)^4+3

e x t re m e f (x) = (x + 3)^{4} + 3