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Beliebt Funktionen >

extreme f(x)=(x^2)/(4-x^2)

Lösung

extrempunkte

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

Lösung

Minimum (0, 0)

Schritte zur Lösung

f^{'} (x) = \frac{8 x}{( 4 - x ^{2} ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < - 2,

Absteigend

: - 2 < x < 0,

Ansteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

\frac{x ^{2}}{4 - x ^{2}} : 0

Minimum (0, 0)

Graph

Beliebte Beispiele

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

e x t re m e f (x) = x^{4} - 12 x^{2} + 36

extreme f(x)=1+cos(x)

e x t re m e f (x) = 1 + cos (x)

extreme f(x)=x^2e^{-6x}

e x t re m e f (x) = x^{2} e^{- 6 x}

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

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

extreme f(x)=3x^3-3x^2-3x+5

e x t re m e f (x) = 3 x^{3} - 3 x^{2} - 3 x + 5