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Beliebt Funktionen >

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

e x t re m e y

extreme f(x)=((8x^3-x^2-108))/(4x^2)

e x t re m e f (x) = \frac{( 8 x ^{3} - x ^{2} - 108 )}{4 x ^{2}}

extreme f(x)=3x-4

e x t re m e f (x) = 3 x - 4

extreme-(x+1)^2-5(y-3)^2

e x t re m e - (x + 1)^{2} - 5 (y - 3)^{2}

extreme f(x)=ln(x+y+1)

e x t re m e f (x) = ln (x + y + 1)