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Beliebt Funktionen >

extreme f(x)=2x^2ln(x)

Lösung

extrempunkte

f (x) = 2 x^{2} ln (x)

Lösung

Minimum (\frac{1}{e}, - \frac{1}{e})

Schritte zur Lösung

f^{'} (x) = 2 (2 x ln (x) + x)

Intervalle finden:

Absteigend

: 0 < x < \frac{1}{e},

Ansteigend

: \frac{1}{e} < x < \infty

Stecke

x = \frac{1}{e}

in

2 x^{2} ln (x) : - \frac{1}{e}

Minimum (\frac{1}{e}, - \frac{1}{e})

Graph

Beliebte Beispiele

extreme f(x,y)=x^2-y^2x-xy

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

extreme f(x)=(4x^2)/(x-8)

e x t re m e f (x) = \frac{4 x ^{2}}{x - 8}

extreme f(x)=-2x^2+12x+3

e x t re m e f (x) = - 2 x^{2} + 12 x + 3

extreme f(x,y)=2x^2+3y^2+2xy+10x-20y

e x t re m e f (x, y) = 2 x^{2} + 3 y^{2} + 2 x y + 10 x - 20 y

extreme f(x,y)=48xy-32x^3-24y^2

e x t re m e f (x, y) = 48 x y - 32 x^{3} - 24 y^{2}