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Beliebt Funktionen >

extreme f(x)=(x^2+3)/(1x-1)

Lösung

extrempunkte

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

Lösung

Maximum (- 1, - 2), Minimum (3, 6)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 1,

Absteigend

: 1 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 1

in

\frac{x ^{2} + 3}{1 x - 1} : - 2

Maximum (- 1, - 2)

Stecke

x = 3

in

\frac{x ^{2} + 3}{1 x - 1} : 6

Minimum (3, 6)

Maximum (- 1, - 2), Minimum (3, 6)

Graph

Beliebte Beispiele

extreme f(x)=x^{2/3}(x-7)

e x t re m e f (x) = x^{\frac{2}{3}} (x - 7)

extreme x^4+x^2-10x+25

e x t re m e x^{4} + x^{2} - 10 x + 25

extreme f(x)=2x^3+3x^2-2x-2

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

extreme f(x,y)=60x+34y-4xy-6x^2-3y^2+5

e x t re m e f (x, y) = 60 x + 34 y - 4 x y - 6 x^{2} - 3 y^{2} + 5

extreme f(x)=x^2*e^{-x^2}

e x t re m e f (x) = x^{2} \cdot e^{- x^{2}}