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Beliebt Funktionen >

extreme f(x)=3x^2ln(x)

Lösung

extrempunkte

f (x) = 3 x^{2} ln (x)

Lösung

Minimum (\frac{1}{e}, - \frac{3}{2 e})

Schritte zur Lösung

f^{'} (x) = 3 (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

3 x^{2} ln (x) : - \frac{3}{2 e}

Minimum (\frac{1}{e}, - \frac{3}{2 e})

Graph

Beliebte Beispiele

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

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

extreme P(y,x)=-y^3-2y^2-xy

e x t re m e P (y, x) = - y^{3} - 2 y^{2} - x y

extreme xsqrt(2-x)

e x t re m e x 2 - x

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

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

extreme f(x,y)=arcsec(x^2-|y|)

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